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Finding the Fourth Proportional to 2,706.08, 3,733.92 and 1,527.12

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Solution

The fourth proportional to 2,706.08, 3,733.92 and 1,527.12 is: 2,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.08 : 3,733.92 = 1,527.12 : x
  2. Step 2: Convert to fraction form
    2,706.08/3,733.92 = 1,527.12/x
  3. Step 3: Cross multiply
    2,706.08x = 3,733.92 × 1,527.12
  4. Step 4: Simplify right side
    2,706.08x = 5,702,143.91
  5. Step 5: Solve for x
    x = 5,702,143.91/2,706.08
  6. Step 6: Final answer
    x = 2,107.16

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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.