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Finding the Fourth Proportional to 2,357.66, 3,537.26 and 1,124.91

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Solution

The fourth proportional to 2,357.66, 3,537.26 and 1,124.91 is: 1,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.66 : 3,537.26 = 1,124.91 : x
  2. Step 2: Convert to fraction form
    2,357.66/3,537.26 = 1,124.91/x
  3. Step 3: Cross multiply
    2,357.66x = 3,537.26 × 1,124.91
  4. Step 4: Simplify right side
    2,357.66x = 3,979,096.16
  5. Step 5: Solve for x
    x = 3,979,096.16/2,357.66
  6. Step 6: Final answer
    x = 1,687.73

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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.