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Finding the Fourth Proportional to 2,849.54, 4,274.92 and 901.90

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Solution

The fourth proportional to 2,849.54, 4,274.92 and 901.90 is: 1,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.54 : 4,274.92 = 901.90 : x
  2. Step 2: Convert to fraction form
    2,849.54/4,274.92 = 901.90/x
  3. Step 3: Cross multiply
    2,849.54x = 4,274.92 × 901.90
  4. Step 4: Simplify right side
    2,849.54x = 3,855,550.35
  5. Step 5: Solve for x
    x = 3,855,550.35/2,849.54
  6. Step 6: Final answer
    x = 1,353.04

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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.