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Finding the Fourth Proportional to 1,868.75, 2,578.89 and 1,082.93

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Solution

The fourth proportional to 1,868.75, 2,578.89 and 1,082.93 is: 1,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.75 : 2,578.89 = 1,082.93 : x
  2. Step 2: Convert to fraction form
    1,868.75/2,578.89 = 1,082.93/x
  3. Step 3: Cross multiply
    1,868.75x = 2,578.89 × 1,082.93
  4. Step 4: Simplify right side
    1,868.75x = 2,792,757.35
  5. Step 5: Solve for x
    x = 2,792,757.35/1,868.75
  6. Step 6: Final answer
    x = 1,494.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.