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Finding the Fourth Proportional to 2,706.64, 4,052.47 and 1,387.55

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Solution

The fourth proportional to 2,706.64, 4,052.47 and 1,387.55 is: 2,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.64 : 4,052.47 = 1,387.55 : x
  2. Step 2: Convert to fraction form
    2,706.64/4,052.47 = 1,387.55/x
  3. Step 3: Cross multiply
    2,706.64x = 4,052.47 × 1,387.55
  4. Step 4: Simplify right side
    2,706.64x = 5,623,004.75
  5. Step 5: Solve for x
    x = 5,623,004.75/2,706.64
  6. Step 6: Final answer
    x = 2,077.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.