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Finding the Fourth Proportional to 3,456.98, 4,770.53 and 1,965.06

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Solution

The fourth proportional to 3,456.98, 4,770.53 and 1,965.06 is: 2,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.98 : 4,770.53 = 1,965.06 : x
  2. Step 2: Convert to fraction form
    3,456.98/4,770.53 = 1,965.06/x
  3. Step 3: Cross multiply
    3,456.98x = 4,770.53 × 1,965.06
  4. Step 4: Simplify right side
    3,456.98x = 9,374,377.68
  5. Step 5: Solve for x
    x = 9,374,377.68/3,456.98
  6. Step 6: Final answer
    x = 2,711.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.