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Finding the Fourth Proportional to 2,542.88, 3,509.18 and 1,494.95

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Solution

The fourth proportional to 2,542.88, 3,509.18 and 1,494.95 is: 2,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.88 : 3,509.18 = 1,494.95 : x
  2. Step 2: Convert to fraction form
    2,542.88/3,509.18 = 1,494.95/x
  3. Step 3: Cross multiply
    2,542.88x = 3,509.18 × 1,494.95
  4. Step 4: Simplify right side
    2,542.88x = 5,246,023.62
  5. Step 5: Solve for x
    x = 5,246,023.62/2,542.88
  6. Step 6: Final answer
    x = 2,063.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.