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Finding the Fourth Proportional to 3,211.71, 4,814.19 and 1,565.97

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Solution

The fourth proportional to 3,211.71, 4,814.19 and 1,565.97 is: 2,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.71 : 4,814.19 = 1,565.97 : x
  2. Step 2: Convert to fraction form
    3,211.71/4,814.19 = 1,565.97/x
  3. Step 3: Cross multiply
    3,211.71x = 4,814.19 × 1,565.97
  4. Step 4: Simplify right side
    3,211.71x = 7,538,877.11
  5. Step 5: Solve for x
    x = 7,538,877.11/3,211.71
  6. Step 6: Final answer
    x = 2,347.31

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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.