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Finding the Fourth Proportional to 1,612.01, 2,417.72 and 734.31

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Solution

The fourth proportional to 1,612.01, 2,417.72 and 734.31 is: 1,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.01 : 2,417.72 = 734.31 : x
  2. Step 2: Convert to fraction form
    1,612.01/2,417.72 = 734.31/x
  3. Step 3: Cross multiply
    1,612.01x = 2,417.72 × 734.31
  4. Step 4: Simplify right side
    1,612.01x = 1,775,355.97
  5. Step 5: Solve for x
    x = 1,775,355.97/1,612.01
  6. Step 6: Final answer
    x = 1,101.33

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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.