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Finding the Fourth Proportional to 3,046.42, 4,569.81 and 966.39

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Solution

The fourth proportional to 3,046.42, 4,569.81 and 966.39 is: 1,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.42 : 4,569.81 = 966.39 : x
  2. Step 2: Convert to fraction form
    3,046.42/4,569.81 = 966.39/x
  3. Step 3: Cross multiply
    3,046.42x = 4,569.81 × 966.39
  4. Step 4: Simplify right side
    3,046.42x = 4,416,218.69
  5. Step 5: Solve for x
    x = 4,416,218.69/3,046.42
  6. Step 6: Final answer
    x = 1,449.64

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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.