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Finding the Fourth Proportional to 1,501.71, 2,252.57 and 406.19

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Solution

The fourth proportional to 1,501.71, 2,252.57 and 406.19 is: 609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.71 : 2,252.57 = 406.19 : x
  2. Step 2: Convert to fraction form
    1,501.71/2,252.57 = 406.19/x
  3. Step 3: Cross multiply
    1,501.71x = 2,252.57 × 406.19
  4. Step 4: Simplify right side
    1,501.71x = 914,969.38
  5. Step 5: Solve for x
    x = 914,969.38/1,501.71
  6. Step 6: Final answer
    x = 609.29

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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.