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Finding the Fourth Proportional to 2,705.90, 3,734.08 and 1,527.22

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Solution

The fourth proportional to 2,705.90, 3,734.08 and 1,527.22 is: 2,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.90 : 3,734.08 = 1,527.22 : x
  2. Step 2: Convert to fraction form
    2,705.90/3,734.08 = 1,527.22/x
  3. Step 3: Cross multiply
    2,705.90x = 3,734.08 × 1,527.22
  4. Step 4: Simplify right side
    2,705.90x = 5,702,761.66
  5. Step 5: Solve for x
    x = 5,702,761.66/2,705.90
  6. Step 6: Final answer
    x = 2,107.53

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