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Finding the Fourth Proportional to 2,802.22, 3,867.87 and 1,873.42

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Solution

The fourth proportional to 2,802.22, 3,867.87 and 1,873.42 is: 2,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.22 : 3,867.87 = 1,873.42 : x
  2. Step 2: Convert to fraction form
    2,802.22/3,867.87 = 1,873.42/x
  3. Step 3: Cross multiply
    2,802.22x = 3,867.87 × 1,873.42
  4. Step 4: Simplify right side
    2,802.22x = 7,246,145.02
  5. Step 5: Solve for x
    x = 7,246,145.02/2,802.22
  6. Step 6: Final answer
    x = 2,585.86

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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.