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Finding the Fourth Proportional to 1,629.61, 2,444.76 and 534.05

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Solution

The fourth proportional to 1,629.61, 2,444.76 and 534.05 is: 801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.61 : 2,444.76 = 534.05 : x
  2. Step 2: Convert to fraction form
    1,629.61/2,444.76 = 534.05/x
  3. Step 3: Cross multiply
    1,629.61x = 2,444.76 × 534.05
  4. Step 4: Simplify right side
    1,629.61x = 1,305,624.08
  5. Step 5: Solve for x
    x = 1,305,624.08/1,629.61
  6. Step 6: Final answer
    x = 801.19

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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.