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Finding the Fourth Proportional to 2,854.43, 4,282.32 and 906.65

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Solution

The fourth proportional to 2,854.43, 4,282.32 and 906.65 is: 1,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.43 : 4,282.32 = 906.65 : x
  2. Step 2: Convert to fraction form
    2,854.43/4,282.32 = 906.65/x
  3. Step 3: Cross multiply
    2,854.43x = 4,282.32 × 906.65
  4. Step 4: Simplify right side
    2,854.43x = 3,882,544.02
  5. Step 5: Solve for x
    x = 3,882,544.02/2,854.43
  6. Step 6: Final answer
    x = 1,360.18

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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.