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Finding the Fourth Proportional to 2,338.72, 3,508.76 and 757.42

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Solution

The fourth proportional to 2,338.72, 3,508.76 and 757.42 is: 1,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.72 : 3,508.76 = 757.42 : x
  2. Step 2: Convert to fraction form
    2,338.72/3,508.76 = 757.42/x
  3. Step 3: Cross multiply
    2,338.72x = 3,508.76 × 757.42
  4. Step 4: Simplify right side
    2,338.72x = 2,657,598.12
  5. Step 5: Solve for x
    x = 2,657,598.12/2,338.72
  6. Step 6: Final answer
    x = 1,136.35

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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.