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Finding the Fourth Proportional to 2,811.68, 3,882.96 and 2,788.64

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Solution

The fourth proportional to 2,811.68, 3,882.96 and 2,788.64 is: 3,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.68 : 3,882.96 = 2,788.64 : x
  2. Step 2: Convert to fraction form
    2,811.68/3,882.96 = 2,788.64/x
  3. Step 3: Cross multiply
    2,811.68x = 3,882.96 × 2,788.64
  4. Step 4: Simplify right side
    2,811.68x = 10,828,177.57
  5. Step 5: Solve for x
    x = 10,828,177.57/2,811.68
  6. Step 6: Final answer
    x = 3,851.14

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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.