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Finding the Fourth Proportional to 2,791.71, 4,187.65 and 1,404.29

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Solution

The fourth proportional to 2,791.71, 4,187.65 and 1,404.29 is: 2,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.71 : 4,187.65 = 1,404.29 : x
  2. Step 2: Convert to fraction form
    2,791.71/4,187.65 = 1,404.29/x
  3. Step 3: Cross multiply
    2,791.71x = 4,187.65 × 1,404.29
  4. Step 4: Simplify right side
    2,791.71x = 5,880,654.08
  5. Step 5: Solve for x
    x = 5,880,654.08/2,791.71
  6. Step 6: Final answer
    x = 2,106.47

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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.