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Finding the Fourth Proportional to 2,722.65, 3,757.01 and 1,543.65

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Solution

The fourth proportional to 2,722.65, 3,757.01 and 1,543.65 is: 2,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.65 : 3,757.01 = 1,543.65 : x
  2. Step 2: Convert to fraction form
    2,722.65/3,757.01 = 1,543.65/x
  3. Step 3: Cross multiply
    2,722.65x = 3,757.01 × 1,543.65
  4. Step 4: Simplify right side
    2,722.65x = 5,799,508.49
  5. Step 5: Solve for x
    x = 5,799,508.49/2,722.65
  6. Step 6: Final answer
    x = 2,130.10

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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.