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Finding the Fourth Proportional to 2,543.72, 3,812.97 and 1,722.08

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Solution

The fourth proportional to 2,543.72, 3,812.97 and 1,722.08 is: 2,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.72 : 3,812.97 = 1,722.08 : x
  2. Step 2: Convert to fraction form
    2,543.72/3,812.97 = 1,722.08/x
  3. Step 3: Cross multiply
    2,543.72x = 3,812.97 × 1,722.08
  4. Step 4: Simplify right side
    2,543.72x = 6,566,239.38
  5. Step 5: Solve for x
    x = 6,566,239.38/2,543.72
  6. Step 6: Final answer
    x = 2,581.35

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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.