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Finding the Fourth Proportional to 4,162.68, 6,244.95 and 1,565.64

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Solution

The fourth proportional to 4,162.68, 6,244.95 and 1,565.64 is: 2,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.68 : 6,244.95 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    4,162.68/6,244.95 = 1,565.64/x
  3. Step 3: Cross multiply
    4,162.68x = 6,244.95 × 1,565.64
  4. Step 4: Simplify right side
    4,162.68x = 9,777,343.52
  5. Step 5: Solve for x
    x = 9,777,343.52/4,162.68
  6. Step 6: Final answer
    x = 2,348.81

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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.