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Finding the Fourth Proportional to 2,706.48, 4,065.12 and 2,553.66

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Solution

The fourth proportional to 2,706.48, 4,065.12 and 2,553.66 is: 3,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.48 : 4,065.12 = 2,553.66 : x
  2. Step 2: Convert to fraction form
    2,706.48/4,065.12 = 2,553.66/x
  3. Step 3: Cross multiply
    2,706.48x = 4,065.12 × 2,553.66
  4. Step 4: Simplify right side
    2,706.48x = 10,380,934.34
  5. Step 5: Solve for x
    x = 10,380,934.34/2,706.48
  6. Step 6: Final answer
    x = 3,835.59

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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.