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Finding the Fourth Proportional to 2,705.82, 3,734.04 and 1,526.90

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Solution

The fourth proportional to 2,705.82, 3,734.04 and 1,526.90 is: 2,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.82 : 3,734.04 = 1,526.90 : x
  2. Step 2: Convert to fraction form
    2,705.82/3,734.04 = 1,526.90/x
  3. Step 3: Cross multiply
    2,705.82x = 3,734.04 × 1,526.90
  4. Step 4: Simplify right side
    2,705.82x = 5,701,505.68
  5. Step 5: Solve for x
    x = 5,701,505.68/2,705.82
  6. Step 6: Final answer
    x = 2,107.13

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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.