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Finding the Fourth Proportional to 2,765.66, 4,148.94 and 818.06

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Solution

The fourth proportional to 2,765.66, 4,148.94 and 818.06 is: 1,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.66 : 4,148.94 = 818.06 : x
  2. Step 2: Convert to fraction form
    2,765.66/4,148.94 = 818.06/x
  3. Step 3: Cross multiply
    2,765.66x = 4,148.94 × 818.06
  4. Step 4: Simplify right side
    2,765.66x = 3,394,081.86
  5. Step 5: Solve for x
    x = 3,394,081.86/2,765.66
  6. Step 6: Final answer
    x = 1,227.22

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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.