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Finding the Fourth Proportional to 2,372.67, 3,557.25 and 1,138.91

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Solution

The fourth proportional to 2,372.67, 3,557.25 and 1,138.91 is: 1,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.67 : 3,557.25 = 1,138.91 : x
  2. Step 2: Convert to fraction form
    2,372.67/3,557.25 = 1,138.91/x
  3. Step 3: Cross multiply
    2,372.67x = 3,557.25 × 1,138.91
  4. Step 4: Simplify right side
    2,372.67x = 4,051,369.81
  5. Step 5: Solve for x
    x = 4,051,369.81/2,372.67
  6. Step 6: Final answer
    x = 1,707.52

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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.