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Finding the Fourth Proportional to 2,882.46, 3,973.28 and 2,411.94

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Solution

The fourth proportional to 2,882.46, 3,973.28 and 2,411.94 is: 3,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.46 : 3,973.28 = 2,411.94 : x
  2. Step 2: Convert to fraction form
    2,882.46/3,973.28 = 2,411.94/x
  3. Step 3: Cross multiply
    2,882.46x = 3,973.28 × 2,411.94
  4. Step 4: Simplify right side
    2,882.46x = 9,583,312.96
  5. Step 5: Solve for x
    x = 9,583,312.96/2,882.46
  6. Step 6: Final answer
    x = 3,324.70

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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.