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Finding the Fourth Proportional to 2,882.52, 4,323.80 and 934.80

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Solution

The fourth proportional to 2,882.52, 4,323.80 and 934.80 is: 1,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.52 : 4,323.80 = 934.80 : x
  2. Step 2: Convert to fraction form
    2,882.52/4,323.80 = 934.80/x
  3. Step 3: Cross multiply
    2,882.52x = 4,323.80 × 934.80
  4. Step 4: Simplify right side
    2,882.52x = 4,041,888.24
  5. Step 5: Solve for x
    x = 4,041,888.24/2,882.52
  6. Step 6: Final answer
    x = 1,402.21

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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.