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Finding the Fourth Proportional to 2,462.33, 3,690.20 and 900.87

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Solution

The fourth proportional to 2,462.33, 3,690.20 and 900.87 is: 1,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.33 : 3,690.20 = 900.87 : x
  2. Step 2: Convert to fraction form
    2,462.33/3,690.20 = 900.87/x
  3. Step 3: Cross multiply
    2,462.33x = 3,690.20 × 900.87
  4. Step 4: Simplify right side
    2,462.33x = 3,324,385.97
  5. Step 5: Solve for x
    x = 3,324,385.97/2,462.33
  6. Step 6: Final answer
    x = 1,350.10

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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.