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Finding the Fourth Proportional to 2,802.29, 3,867.22 and 1,543.42

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Solution

The fourth proportional to 2,802.29, 3,867.22 and 1,543.42 is: 2,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.29 : 3,867.22 = 1,543.42 : x
  2. Step 2: Convert to fraction form
    2,802.29/3,867.22 = 1,543.42/x
  3. Step 3: Cross multiply
    2,802.29x = 3,867.22 × 1,543.42
  4. Step 4: Simplify right side
    2,802.29x = 5,968,731.17
  5. Step 5: Solve for x
    x = 5,968,731.17/2,802.29
  6. Step 6: Final answer
    x = 2,129.95

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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.