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Finding the Fourth Proportional to 2,462.74, 3,670.11 and 2,391.66

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Solution

The fourth proportional to 2,462.74, 3,670.11 and 2,391.66 is: 3,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.74 : 3,670.11 = 2,391.66 : x
  2. Step 2: Convert to fraction form
    2,462.74/3,670.11 = 2,391.66/x
  3. Step 3: Cross multiply
    2,462.74x = 3,670.11 × 2,391.66
  4. Step 4: Simplify right side
    2,462.74x = 8,777,655.28
  5. Step 5: Solve for x
    x = 8,777,655.28/2,462.74
  6. Step 6: Final answer
    x = 3,564.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.