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Finding the Fourth Proportional to 3,002.96, 4,512.95 and 1,770.95

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Solution

The fourth proportional to 3,002.96, 4,512.95 and 1,770.95 is: 2,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.96 : 4,512.95 = 1,770.95 : x
  2. Step 2: Convert to fraction form
    3,002.96/4,512.95 = 1,770.95/x
  3. Step 3: Cross multiply
    3,002.96x = 4,512.95 × 1,770.95
  4. Step 4: Simplify right side
    3,002.96x = 7,992,177.38
  5. Step 5: Solve for x
    x = 7,992,177.38/3,002.96
  6. Step 6: Final answer
    x = 2,661.44

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1.5x scale

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.