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Finding the Fourth Proportional to 2,125.29, 3,187.96 and 565.28

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Solution

The fourth proportional to 2,125.29, 3,187.96 and 565.28 is: 847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.29 : 3,187.96 = 565.28 : x
  2. Step 2: Convert to fraction form
    2,125.29/3,187.96 = 565.28/x
  3. Step 3: Cross multiply
    2,125.29x = 3,187.96 × 565.28
  4. Step 4: Simplify right side
    2,125.29x = 1,802,072.68
  5. Step 5: Solve for x
    x = 1,802,072.68/2,125.29
  6. Step 6: Final answer
    x = 847.92

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