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Finding the Fourth Proportional to 1,557.38, 2,336.39 and 691.70

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Solution

The fourth proportional to 1,557.38, 2,336.39 and 691.70 is: 1,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.38 : 2,336.39 = 691.70 : x
  2. Step 2: Convert to fraction form
    1,557.38/2,336.39 = 691.70/x
  3. Step 3: Cross multiply
    1,557.38x = 2,336.39 × 691.70
  4. Step 4: Simplify right side
    1,557.38x = 1,616,065.82
  5. Step 5: Solve for x
    x = 1,616,065.82/1,557.38
  6. Step 6: Final answer
    x = 1,037.69

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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.