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Finding the Fourth Proportional to 2,462.86, 3,397.67 and 1,665.90

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Solution

The fourth proportional to 2,462.86, 3,397.67 and 1,665.90 is: 2,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.86 : 3,397.67 = 1,665.90 : x
  2. Step 2: Convert to fraction form
    2,462.86/3,397.67 = 1,665.90/x
  3. Step 3: Cross multiply
    2,462.86x = 3,397.67 × 1,665.90
  4. Step 4: Simplify right side
    2,462.86x = 5,660,178.45
  5. Step 5: Solve for x
    x = 5,660,178.45/2,462.86
  6. Step 6: Final answer
    x = 2,298.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.