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Finding the Fourth Proportional to 3,209.64, 4,814.85 and 901.14

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Solution

The fourth proportional to 3,209.64, 4,814.85 and 901.14 is: 1,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.64 : 4,814.85 = 901.14 : x
  2. Step 2: Convert to fraction form
    3,209.64/4,814.85 = 901.14/x
  3. Step 3: Cross multiply
    3,209.64x = 4,814.85 × 901.14
  4. Step 4: Simplify right side
    3,209.64x = 4,338,853.93
  5. Step 5: Solve for x
    x = 4,338,853.93/3,209.64
  6. Step 6: Final answer
    x = 1,351.82

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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.