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Finding the Fourth Proportional to 2,706.32, 3,734.96 and 1,527.64

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Solution

The fourth proportional to 2,706.32, 3,734.96 and 1,527.64 is: 2,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.32 : 3,734.96 = 1,527.64 : x
  2. Step 2: Convert to fraction form
    2,706.32/3,734.96 = 1,527.64/x
  3. Step 3: Cross multiply
    2,706.32x = 3,734.96 × 1,527.64
  4. Step 4: Simplify right side
    2,706.32x = 5,705,657.32
  5. Step 5: Solve for x
    x = 5,705,657.32/2,706.32
  6. Step 6: Final answer
    x = 2,108.27

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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.