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Finding the Fourth Proportional to 1,356.61, 2,034.92 and 432.17

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Solution

The fourth proportional to 1,356.61, 2,034.92 and 432.17 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.61 : 2,034.92 = 432.17 : x
  2. Step 2: Convert to fraction form
    1,356.61/2,034.92 = 432.17/x
  3. Step 3: Cross multiply
    1,356.61x = 2,034.92 × 432.17
  4. Step 4: Simplify right side
    1,356.61x = 879,429.22
  5. Step 5: Solve for x
    x = 879,429.22/1,356.61
  6. Step 6: Final answer
    x = 648.26

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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.