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Finding the Fourth Proportional to 2,706.34, 3,734.75 and 1,527.66

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Solution

The fourth proportional to 2,706.34, 3,734.75 and 1,527.66 is: 2,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.34 : 3,734.75 = 1,527.66 : x
  2. Step 2: Convert to fraction form
    2,706.34/3,734.75 = 1,527.66/x
  3. Step 3: Cross multiply
    2,706.34x = 3,734.75 × 1,527.66
  4. Step 4: Simplify right side
    2,706.34x = 5,705,428.19
  5. Step 5: Solve for x
    x = 5,705,428.19/2,706.34
  6. Step 6: Final answer
    x = 2,108.17

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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.