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Finding the Fourth Proportional to 2,117.36, 3,176.04 and 578.36

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Solution

The fourth proportional to 2,117.36, 3,176.04 and 578.36 is: 867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.36 : 3,176.04 = 578.36 : x
  2. Step 2: Convert to fraction form
    2,117.36/3,176.04 = 578.36/x
  3. Step 3: Cross multiply
    2,117.36x = 3,176.04 × 578.36
  4. Step 4: Simplify right side
    2,117.36x = 1,836,894.49
  5. Step 5: Solve for x
    x = 1,836,894.49/2,117.36
  6. Step 6: Final answer
    x = 867.54

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Double scale
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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.