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Finding the Fourth Proportional to 3,049.98, 4,575.05 and 969.95

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Solution

The fourth proportional to 3,049.98, 4,575.05 and 969.95 is: 1,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.98 : 4,575.05 = 969.95 : x
  2. Step 2: Convert to fraction form
    3,049.98/4,575.05 = 969.95/x
  3. Step 3: Cross multiply
    3,049.98x = 4,575.05 × 969.95
  4. Step 4: Simplify right side
    3,049.98x = 4,437,542.02
  5. Step 5: Solve for x
    x = 4,437,542.02/3,049.98
  6. Step 6: Final answer
    x = 1,454.94

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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.