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Finding the Fourth Proportional to 1,629.68, 2,444.78 and 534.14

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Solution

The fourth proportional to 1,629.68, 2,444.78 and 534.14 is: 801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.68 : 2,444.78 = 534.14 : x
  2. Step 2: Convert to fraction form
    1,629.68/2,444.78 = 534.14/x
  3. Step 3: Cross multiply
    1,629.68x = 2,444.78 × 534.14
  4. Step 4: Simplify right side
    1,629.68x = 1,305,854.79
  5. Step 5: Solve for x
    x = 1,305,854.79/1,629.68
  6. Step 6: Final answer
    x = 801.30

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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.