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Finding the Fourth Proportional to 2,882.10, 4,323.15 and 1,569.90

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Solution

The fourth proportional to 2,882.10, 4,323.15 and 1,569.90 is: 2,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.10 : 4,323.15 = 1,569.90 : x
  2. Step 2: Convert to fraction form
    2,882.10/4,323.15 = 1,569.90/x
  3. Step 3: Cross multiply
    2,882.10x = 4,323.15 × 1,569.90
  4. Step 4: Simplify right side
    2,882.10x = 6,786,913.19
  5. Step 5: Solve for x
    x = 6,786,913.19/2,882.10
  6. Step 6: Final answer
    x = 2,354.85

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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.