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Finding the Fourth Proportional to 1,478.39, 2,207.17 and 1,129.88

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Solution

The fourth proportional to 1,478.39, 2,207.17 and 1,129.88 is: 1,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.39 : 2,207.17 = 1,129.88 : x
  2. Step 2: Convert to fraction form
    1,478.39/2,207.17 = 1,129.88/x
  3. Step 3: Cross multiply
    1,478.39x = 2,207.17 × 1,129.88
  4. Step 4: Simplify right side
    1,478.39x = 2,493,837.81
  5. Step 5: Solve for x
    x = 2,493,837.81/1,478.39
  6. Step 6: Final answer
    x = 1,686.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.