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Finding the Fourth Proportional to 2,802.86, 3,867.78 and 1,543.86

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Solution

The fourth proportional to 2,802.86, 3,867.78 and 1,543.86 is: 2,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.86 : 3,867.78 = 1,543.86 : x
  2. Step 2: Convert to fraction form
    2,802.86/3,867.78 = 1,543.86/x
  3. Step 3: Cross multiply
    2,802.86x = 3,867.78 × 1,543.86
  4. Step 4: Simplify right side
    2,802.86x = 5,971,310.83
  5. Step 5: Solve for x
    x = 5,971,310.83/2,802.86
  6. Step 6: Final answer
    x = 2,130.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.