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Finding the Fourth Proportional to 2,712.03, 4,068.18 and 862.97

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Solution

The fourth proportional to 2,712.03, 4,068.18 and 862.97 is: 1,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.03 : 4,068.18 = 862.97 : x
  2. Step 2: Convert to fraction form
    2,712.03/4,068.18 = 862.97/x
  3. Step 3: Cross multiply
    2,712.03x = 4,068.18 × 862.97
  4. Step 4: Simplify right side
    2,712.03x = 3,510,696.95
  5. Step 5: Solve for x
    x = 3,510,696.95/2,712.03
  6. Step 6: Final answer
    x = 1,294.49

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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.