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Finding the Fourth Proportional to 2,542.12, 3,813.32 and 788.33

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Solution

The fourth proportional to 2,542.12, 3,813.32 and 788.33 is: 1,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.12 : 3,813.32 = 788.33 : x
  2. Step 2: Convert to fraction form
    2,542.12/3,813.32 = 788.33/x
  3. Step 3: Cross multiply
    2,542.12x = 3,813.32 × 788.33
  4. Step 4: Simplify right side
    2,542.12x = 3,006,167.30
  5. Step 5: Solve for x
    x = 3,006,167.30/2,542.12
  6. Step 6: Final answer
    x = 1,182.54

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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.