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Finding the Fourth Proportional to 1,599.82, 2,397.71 and 721.39

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Solution

The fourth proportional to 1,599.82, 2,397.71 and 721.39 is: 1,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.82 : 2,397.71 = 721.39 : x
  2. Step 2: Convert to fraction form
    1,599.82/2,397.71 = 721.39/x
  3. Step 3: Cross multiply
    1,599.82x = 2,397.71 × 721.39
  4. Step 4: Simplify right side
    1,599.82x = 1,729,684.02
  5. Step 5: Solve for x
    x = 1,729,684.02/1,599.82
  6. Step 6: Final answer
    x = 1,081.17

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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.