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Finding the Fourth Proportional to 1,630.10, 2,444.24 and 534.38

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Solution

The fourth proportional to 1,630.10, 2,444.24 and 534.38 is: 801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.10 : 2,444.24 = 534.38 : x
  2. Step 2: Convert to fraction form
    1,630.10/2,444.24 = 534.38/x
  3. Step 3: Cross multiply
    1,630.10x = 2,444.24 × 534.38
  4. Step 4: Simplify right side
    1,630.10x = 1,306,152.97
  5. Step 5: Solve for x
    x = 1,306,152.97/1,630.10
  6. Step 6: Final answer
    x = 801.27

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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.