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Finding the Fourth Proportional to 2,542.19, 3,811.19 and 899.78

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Solution

The fourth proportional to 2,542.19, 3,811.19 and 899.78 is: 1,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.19 : 3,811.19 = 899.78 : x
  2. Step 2: Convert to fraction form
    2,542.19/3,811.19 = 899.78/x
  3. Step 3: Cross multiply
    2,542.19x = 3,811.19 × 899.78
  4. Step 4: Simplify right side
    2,542.19x = 3,429,208.98
  5. Step 5: Solve for x
    x = 3,429,208.98/2,542.19
  6. Step 6: Final answer
    x = 1,348.92

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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.