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Finding the Fourth Proportional to 1,474.70, 2,037.69 and 1,098.08

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Solution

The fourth proportional to 1,474.70, 2,037.69 and 1,098.08 is: 1,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.70 : 2,037.69 = 1,098.08 : x
  2. Step 2: Convert to fraction form
    1,474.70/2,037.69 = 1,098.08/x
  3. Step 3: Cross multiply
    1,474.70x = 2,037.69 × 1,098.08
  4. Step 4: Simplify right side
    1,474.70x = 2,237,536.45
  5. Step 5: Solve for x
    x = 2,237,536.45/1,474.70
  6. Step 6: Final answer
    x = 1,517.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.