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Finding the Fourth Proportional to 2,854.40, 4,282.24 and 906.52

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Solution

The fourth proportional to 2,854.40, 4,282.24 and 906.52 is: 1,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.40 : 4,282.24 = 906.52 : x
  2. Step 2: Convert to fraction form
    2,854.40/4,282.24 = 906.52/x
  3. Step 3: Cross multiply
    2,854.40x = 4,282.24 × 906.52
  4. Step 4: Simplify right side
    2,854.40x = 3,881,936.20
  5. Step 5: Solve for x
    x = 3,881,936.20/2,854.40
  6. Step 6: Final answer
    x = 1,359.98

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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.