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Finding the Fourth Proportional to 2,822.46, 4,233.65 and 770.46

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Solution

The fourth proportional to 2,822.46, 4,233.65 and 770.46 is: 1,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.46 : 4,233.65 = 770.46 : x
  2. Step 2: Convert to fraction form
    2,822.46/4,233.65 = 770.46/x
  3. Step 3: Cross multiply
    2,822.46x = 4,233.65 × 770.46
  4. Step 4: Simplify right side
    2,822.46x = 3,261,854.13
  5. Step 5: Solve for x
    x = 3,261,854.13/2,822.46
  6. Step 6: Final answer
    x = 1,155.68

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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.