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Finding the Fourth Proportional to 2,982.58, 4,474.58 and 1,034.80

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Solution

The fourth proportional to 2,982.58, 4,474.58 and 1,034.80 is: 1,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.58 : 4,474.58 = 1,034.80 : x
  2. Step 2: Convert to fraction form
    2,982.58/4,474.58 = 1,034.80/x
  3. Step 3: Cross multiply
    2,982.58x = 4,474.58 × 1,034.80
  4. Step 4: Simplify right side
    2,982.58x = 4,630,279.02
  5. Step 5: Solve for x
    x = 4,630,279.02/2,982.58
  6. Step 6: Final answer
    x = 1,552.44

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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.