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Finding the Fourth Proportional to 2,802.38, 3,867.23 and 1,543.43

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Solution

The fourth proportional to 2,802.38, 3,867.23 and 1,543.43 is: 2,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.38 : 3,867.23 = 1,543.43 : x
  2. Step 2: Convert to fraction form
    2,802.38/3,867.23 = 1,543.43/x
  3. Step 3: Cross multiply
    2,802.38x = 3,867.23 × 1,543.43
  4. Step 4: Simplify right side
    2,802.38x = 5,968,771.75
  5. Step 5: Solve for x
    x = 5,968,771.75/2,802.38
  6. Step 6: Final answer
    x = 2,129.90

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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.