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Finding the Fourth Proportional to 2,882.04, 3,973.16 and 2,438.16

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Solution

The fourth proportional to 2,882.04, 3,973.16 and 2,438.16 is: 3,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.04 : 3,973.16 = 2,438.16 : x
  2. Step 2: Convert to fraction form
    2,882.04/3,973.16 = 2,438.16/x
  3. Step 3: Cross multiply
    2,882.04x = 3,973.16 × 2,438.16
  4. Step 4: Simplify right side
    2,882.04x = 9,687,199.79
  5. Step 5: Solve for x
    x = 9,687,199.79/2,882.04
  6. Step 6: Final answer
    x = 3,361.23

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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.