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Finding the Fourth Proportional to 2,462.72, 3,697.72 and 2,343.78

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Solution

The fourth proportional to 2,462.72, 3,697.72 and 2,343.78 is: 3,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.72 : 3,697.72 = 2,343.78 : x
  2. Step 2: Convert to fraction form
    2,462.72/3,697.72 = 2,343.78/x
  3. Step 3: Cross multiply
    2,462.72x = 3,697.72 × 2,343.78
  4. Step 4: Simplify right side
    2,462.72x = 8,666,636.32
  5. Step 5: Solve for x
    x = 8,666,636.32/2,462.72
  6. Step 6: Final answer
    x = 3,519.14

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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.