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Finding the Fourth Proportional to 1,478.73, 2,037.11 and 1,012.17

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Solution

The fourth proportional to 1,478.73, 2,037.11 and 1,012.17 is: 1,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.73 : 2,037.11 = 1,012.17 : x
  2. Step 2: Convert to fraction form
    1,478.73/2,037.11 = 1,012.17/x
  3. Step 3: Cross multiply
    1,478.73x = 2,037.11 × 1,012.17
  4. Step 4: Simplify right side
    1,478.73x = 2,061,896.57
  5. Step 5: Solve for x
    x = 2,061,896.57/1,478.73
  6. Step 6: Final answer
    x = 1,394.37

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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.