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Finding the Fourth Proportional to 2,854.61, 4,282.10 and 906.75

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Solution

The fourth proportional to 2,854.61, 4,282.10 and 906.75 is: 1,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.61 : 4,282.10 = 906.75 : x
  2. Step 2: Convert to fraction form
    2,854.61/4,282.10 = 906.75/x
  3. Step 3: Cross multiply
    2,854.61x = 4,282.10 × 906.75
  4. Step 4: Simplify right side
    2,854.61x = 3,882,789.64
  5. Step 5: Solve for x
    x = 3,882,789.64/2,854.61
  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.