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Finding the Fourth Proportional to 2,124.74, 3,187.24 and 564.71

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Solution

The fourth proportional to 2,124.74, 3,187.24 and 564.71 is: 847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.74 : 3,187.24 = 564.71 : x
  2. Step 2: Convert to fraction form
    2,124.74/3,187.24 = 564.71/x
  3. Step 3: Cross multiply
    2,124.74x = 3,187.24 × 564.71
  4. Step 4: Simplify right side
    2,124.74x = 1,799,872.86
  5. Step 5: Solve for x
    x = 1,799,872.86/2,124.74
  6. Step 6: Final answer
    x = 847.10

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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.