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Finding the Fourth Proportional to 2,705.97, 3,734.17 and 1,526.95

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Solution

The fourth proportional to 2,705.97, 3,734.17 and 1,526.95 is: 2,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.97 : 3,734.17 = 1,526.95 : x
  2. Step 2: Convert to fraction form
    2,705.97/3,734.17 = 1,526.95/x
  3. Step 3: Cross multiply
    2,705.97x = 3,734.17 × 1,526.95
  4. Step 4: Simplify right side
    2,705.97x = 5,701,890.88
  5. Step 5: Solve for x
    x = 5,701,890.88/2,705.97
  6. Step 6: Final answer
    x = 2,107.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.