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Finding the Fourth Proportional to 2,788.68, 4,182.03 and 813.75

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Solution

The fourth proportional to 2,788.68, 4,182.03 and 813.75 is: 1,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.68 : 4,182.03 = 813.75 : x
  2. Step 2: Convert to fraction form
    2,788.68/4,182.03 = 813.75/x
  3. Step 3: Cross multiply
    2,788.68x = 4,182.03 × 813.75
  4. Step 4: Simplify right side
    2,788.68x = 3,403,111.23
  5. Step 5: Solve for x
    x = 3,403,111.23/2,788.68
  6. Step 6: Final answer
    x = 1,220.33

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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.