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Finding the Fourth Proportional to 3,251.00, 4,876.71 and 1,302.95

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Solution

The fourth proportional to 3,251.00, 4,876.71 and 1,302.95 is: 1,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.00 : 4,876.71 = 1,302.95 : x
  2. Step 2: Convert to fraction form
    3,251.00/4,876.71 = 1,302.95/x
  3. Step 3: Cross multiply
    3,251.00x = 4,876.71 × 1,302.95
  4. Step 4: Simplify right side
    3,251.00x = 6,354,116.60
  5. Step 5: Solve for x
    x = 6,354,116.60/3,251.00
  6. Step 6: Final answer
    x = 1,954.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.