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Finding the Fourth Proportional to 2,802.12, 3,866.88 and 1,543.24

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Solution

The fourth proportional to 2,802.12, 3,866.88 and 1,543.24 is: 2,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.12 : 3,866.88 = 1,543.24 : x
  2. Step 2: Convert to fraction form
    2,802.12/3,866.88 = 1,543.24/x
  3. Step 3: Cross multiply
    2,802.12x = 3,866.88 × 1,543.24
  4. Step 4: Simplify right side
    2,802.12x = 5,967,523.89
  5. Step 5: Solve for x
    x = 5,967,523.89/2,802.12
  6. Step 6: Final answer
    x = 2,129.65

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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.