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Finding the Fourth Proportional to 2,809.71, 4,211.87 and 1,347.39

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Solution

The fourth proportional to 2,809.71, 4,211.87 and 1,347.39 is: 2,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.71 : 4,211.87 = 1,347.39 : x
  2. Step 2: Convert to fraction form
    2,809.71/4,211.87 = 1,347.39/x
  3. Step 3: Cross multiply
    2,809.71x = 4,211.87 × 1,347.39
  4. Step 4: Simplify right side
    2,809.71x = 5,675,024.78
  5. Step 5: Solve for x
    x = 5,675,024.78/2,809.71
  6. Step 6: Final answer
    x = 2,019.79

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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.