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Finding the Fourth Proportional to 1,251.66, 1,877.49 and 1,174.71

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Solution

The fourth proportional to 1,251.66, 1,877.49 and 1,174.71 is: 1,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.66 : 1,877.49 = 1,174.71 : x
  2. Step 2: Convert to fraction form
    1,251.66/1,877.49 = 1,174.71/x
  3. Step 3: Cross multiply
    1,251.66x = 1,877.49 × 1,174.71
  4. Step 4: Simplify right side
    1,251.66x = 2,205,506.28
  5. Step 5: Solve for x
    x = 2,205,506.28/1,251.66
  6. Step 6: Final answer
    x = 1,762.07

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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.