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Finding the Fourth Proportional to 2,882.34, 4,323.02 and 1,033.11

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Solution

The fourth proportional to 2,882.34, 4,323.02 and 1,033.11 is: 1,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.34 : 4,323.02 = 1,033.11 : x
  2. Step 2: Convert to fraction form
    2,882.34/4,323.02 = 1,033.11/x
  3. Step 3: Cross multiply
    2,882.34x = 4,323.02 × 1,033.11
  4. Step 4: Simplify right side
    2,882.34x = 4,466,150.03
  5. Step 5: Solve for x
    x = 4,466,150.03/2,882.34
  6. Step 6: Final answer
    x = 1,549.49

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Why These Related Problems?

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