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Finding the Fourth Proportional to 2,986.66, 4,479.49 and 906.17

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Solution

The fourth proportional to 2,986.66, 4,479.49 and 906.17 is: 1,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.66 : 4,479.49 = 906.17 : x
  2. Step 2: Convert to fraction form
    2,986.66/4,479.49 = 906.17/x
  3. Step 3: Cross multiply
    2,986.66x = 4,479.49 × 906.17
  4. Step 4: Simplify right side
    2,986.66x = 4,059,167.01
  5. Step 5: Solve for x
    x = 4,059,167.01/2,986.66
  6. Step 6: Final answer
    x = 1,359.10

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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.