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Finding the Fourth Proportional to 2,677.71, 4,017.14 and 1,445.09

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Solution

The fourth proportional to 2,677.71, 4,017.14 and 1,445.09 is: 2,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.71 : 4,017.14 = 1,445.09 : x
  2. Step 2: Convert to fraction form
    2,677.71/4,017.14 = 1,445.09/x
  3. Step 3: Cross multiply
    2,677.71x = 4,017.14 × 1,445.09
  4. Step 4: Simplify right side
    2,677.71x = 5,805,137.68
  5. Step 5: Solve for x
    x = 5,805,137.68/2,677.71
  6. Step 6: Final answer
    x = 2,167.95

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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.