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Finding the Fourth Proportional to 2,572.75, 3,859.13 and 723.70

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Solution

The fourth proportional to 2,572.75, 3,859.13 and 723.70 is: 1,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.75 : 3,859.13 = 723.70 : x
  2. Step 2: Convert to fraction form
    2,572.75/3,859.13 = 723.70/x
  3. Step 3: Cross multiply
    2,572.75x = 3,859.13 × 723.70
  4. Step 4: Simplify right side
    2,572.75x = 2,792,852.38
  5. Step 5: Solve for x
    x = 2,792,852.38/2,572.75
  6. Step 6: Final answer
    x = 1,085.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.