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Finding the Fourth Proportional to 2,802.32, 3,867.44 and 1,543.62

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Solution

The fourth proportional to 2,802.32, 3,867.44 and 1,543.62 is: 2,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.32 : 3,867.44 = 1,543.62 : x
  2. Step 2: Convert to fraction form
    2,802.32/3,867.44 = 1,543.62/x
  3. Step 3: Cross multiply
    2,802.32x = 3,867.44 × 1,543.62
  4. Step 4: Simplify right side
    2,802.32x = 5,969,857.73
  5. Step 5: Solve for x
    x = 5,969,857.73/2,802.32
  6. Step 6: Final answer
    x = 2,130.33

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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.