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Finding the Fourth Proportional to 2,542.97, 3,814.81 and 788.12

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Solution

The fourth proportional to 2,542.97, 3,814.81 and 788.12 is: 1,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.97 : 3,814.81 = 788.12 : x
  2. Step 2: Convert to fraction form
    2,542.97/3,814.81 = 788.12/x
  3. Step 3: Cross multiply
    2,542.97x = 3,814.81 × 788.12
  4. Step 4: Simplify right side
    2,542.97x = 3,006,528.06
  5. Step 5: Solve for x
    x = 3,006,528.06/2,542.97
  6. Step 6: Final answer
    x = 1,182.29

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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.