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Finding the Fourth Proportional to 2,882.64, 3,971.40 and 2,802

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Solution

The fourth proportional to 2,882.64, 3,971.40 and 2,802 is: 3,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.64 : 3,971.40 = 2,802 : x
  2. Step 2: Convert to fraction form
    2,882.64/3,971.40 = 2,802/x
  3. Step 3: Cross multiply
    2,882.64x = 3,971.40 × 2,802
  4. Step 4: Simplify right side
    2,882.64x = 11,127,862.80
  5. Step 5: Solve for x
    x = 11,127,862.80/2,882.64
  6. Step 6: Final answer
    x = 3,860.30

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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.