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Finding the Fourth Proportional to 2,854.73, 4,282.59 and 906.47

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Solution

The fourth proportional to 2,854.73, 4,282.59 and 906.47 is: 1,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.73 : 4,282.59 = 906.47 : x
  2. Step 2: Convert to fraction form
    2,854.73/4,282.59 = 906.47/x
  3. Step 3: Cross multiply
    2,854.73x = 4,282.59 × 906.47
  4. Step 4: Simplify right side
    2,854.73x = 3,882,039.36
  5. Step 5: Solve for x
    x = 3,882,039.36/2,854.73
  6. Step 6: Final answer
    x = 1,359.86

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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.