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Finding the Fourth Proportional to 2,722.61, 3,757.23 and 1,543.74

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Solution

The fourth proportional to 2,722.61, 3,757.23 and 1,543.74 is: 2,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.61 : 3,757.23 = 1,543.74 : x
  2. Step 2: Convert to fraction form
    2,722.61/3,757.23 = 1,543.74/x
  3. Step 3: Cross multiply
    2,722.61x = 3,757.23 × 1,543.74
  4. Step 4: Simplify right side
    2,722.61x = 5,800,186.24
  5. Step 5: Solve for x
    x = 5,800,186.24/2,722.61
  6. Step 6: Final answer
    x = 2,130.38

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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.