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Finding the Fourth Proportional to 1,557.37, 2,336.42 and 691.75

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Solution

The fourth proportional to 1,557.37, 2,336.42 and 691.75 is: 1,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.37 : 2,336.42 = 691.75 : x
  2. Step 2: Convert to fraction form
    1,557.37/2,336.42 = 691.75/x
  3. Step 3: Cross multiply
    1,557.37x = 2,336.42 × 691.75
  4. Step 4: Simplify right side
    1,557.37x = 1,616,218.54
  5. Step 5: Solve for x
    x = 1,616,218.54/1,557.37
  6. Step 6: Final answer
    x = 1,037.79

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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.