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Finding the Fourth Proportional to 2,706.32, 4,053 and 2,414.72

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Solution

The fourth proportional to 2,706.32, 4,053 and 2,414.72 is: 3,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.32 : 4,053 = 2,414.72 : x
  2. Step 2: Convert to fraction form
    2,706.32/4,053 = 2,414.72/x
  3. Step 3: Cross multiply
    2,706.32x = 4,053 × 2,414.72
  4. Step 4: Simplify right side
    2,706.32x = 9,786,860.16
  5. Step 5: Solve for x
    x = 9,786,860.16/2,706.32
  6. Step 6: Final answer
    x = 3,616.30

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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.