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Finding the Fourth Proportional to 4,162.70, 6,244.93 and 1,565.66

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Solution

The fourth proportional to 4,162.70, 6,244.93 and 1,565.66 is: 2,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.70 : 6,244.93 = 1,565.66 : x
  2. Step 2: Convert to fraction form
    4,162.70/6,244.93 = 1,565.66/x
  3. Step 3: Cross multiply
    4,162.70x = 6,244.93 × 1,565.66
  4. Step 4: Simplify right side
    4,162.70x = 9,777,437.10
  5. Step 5: Solve for x
    x = 9,777,437.10/4,162.70
  6. Step 6: Final answer
    x = 2,348.82

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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.