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Finding the Fourth Proportional to 1,471.47, 2,201.38 and 1,139.79

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Solution

The fourth proportional to 1,471.47, 2,201.38 and 1,139.79 is: 1,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.47 : 2,201.38 = 1,139.79 : x
  2. Step 2: Convert to fraction form
    1,471.47/2,201.38 = 1,139.79/x
  3. Step 3: Cross multiply
    1,471.47x = 2,201.38 × 1,139.79
  4. Step 4: Simplify right side
    1,471.47x = 2,509,097.05
  5. Step 5: Solve for x
    x = 2,509,097.05/1,471.47
  6. Step 6: Final answer
    x = 1,705.17

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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.