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Finding the Fourth Proportional to 3,101.88, 4,650.08 and 1,252.65

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Solution

The fourth proportional to 3,101.88, 4,650.08 and 1,252.65 is: 1,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.88 : 4,650.08 = 1,252.65 : x
  2. Step 2: Convert to fraction form
    3,101.88/4,650.08 = 1,252.65/x
  3. Step 3: Cross multiply
    3,101.88x = 4,650.08 × 1,252.65
  4. Step 4: Simplify right side
    3,101.88x = 5,824,916.45
  5. Step 5: Solve for x
    x = 5,824,916.45/3,101.88
  6. Step 6: Final answer
    x = 1,877.87

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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.