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Finding the Fourth Proportional to 2,983.14, 4,473.24 and 902.73

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Solution

The fourth proportional to 2,983.14, 4,473.24 and 902.73 is: 1,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.14 : 4,473.24 = 902.73 : x
  2. Step 2: Convert to fraction form
    2,983.14/4,473.24 = 902.73/x
  3. Step 3: Cross multiply
    2,983.14x = 4,473.24 × 902.73
  4. Step 4: Simplify right side
    2,983.14x = 4,038,127.95
  5. Step 5: Solve for x
    x = 4,038,127.95/2,983.14
  6. Step 6: Final answer
    x = 1,353.65

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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.