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Finding the Fourth Proportional to 3,458.53, 4,772.94 and 1,966.42

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Solution

The fourth proportional to 3,458.53, 4,772.94 and 1,966.42 is: 2,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.53 : 4,772.94 = 1,966.42 : x
  2. Step 2: Convert to fraction form
    3,458.53/4,772.94 = 1,966.42/x
  3. Step 3: Cross multiply
    3,458.53x = 4,772.94 × 1,966.42
  4. Step 4: Simplify right side
    3,458.53x = 9,385,604.67
  5. Step 5: Solve for x
    x = 9,385,604.67/3,458.53
  6. Step 6: Final answer
    x = 2,713.76

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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.