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Finding the Fourth Proportional to 2,983.28, 4,474.88 and 903.24

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Solution

The fourth proportional to 2,983.28, 4,474.88 and 903.24 is: 1,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.28 : 4,474.88 = 903.24 : x
  2. Step 2: Convert to fraction form
    2,983.28/4,474.88 = 903.24/x
  3. Step 3: Cross multiply
    2,983.28x = 4,474.88 × 903.24
  4. Step 4: Simplify right side
    2,983.28x = 4,041,890.61
  5. Step 5: Solve for x
    x = 4,041,890.61/2,983.28
  6. Step 6: Final answer
    x = 1,354.85

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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.