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Finding the Fourth Proportional to 2,882.78, 4,315.76 and 2,192.16

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Solution

The fourth proportional to 2,882.78, 4,315.76 and 2,192.16 is: 3,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.78 : 4,315.76 = 2,192.16 : x
  2. Step 2: Convert to fraction form
    2,882.78/4,315.76 = 2,192.16/x
  3. Step 3: Cross multiply
    2,882.78x = 4,315.76 × 2,192.16
  4. Step 4: Simplify right side
    2,882.78x = 9,460,807.31
  5. Step 5: Solve for x
    x = 9,460,807.31/2,882.78
  6. Step 6: Final answer
    x = 3,281.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.