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Finding the Fourth Proportional to 2,706.59, 3,734.48 and 1,527.23

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Solution

The fourth proportional to 2,706.59, 3,734.48 and 1,527.23 is: 2,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.59 : 3,734.48 = 1,527.23 : x
  2. Step 2: Convert to fraction form
    2,706.59/3,734.48 = 1,527.23/x
  3. Step 3: Cross multiply
    2,706.59x = 3,734.48 × 1,527.23
  4. Step 4: Simplify right side
    2,706.59x = 5,703,411.59
  5. Step 5: Solve for x
    x = 5,703,411.59/2,706.59
  6. Step 6: Final answer
    x = 2,107.23

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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.