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Finding the Fourth Proportional to 2,854.13, 4,281.35 and 906.49

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Solution

The fourth proportional to 2,854.13, 4,281.35 and 906.49 is: 1,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.13 : 4,281.35 = 906.49 : x
  2. Step 2: Convert to fraction form
    2,854.13/4,281.35 = 906.49/x
  3. Step 3: Cross multiply
    2,854.13x = 4,281.35 × 906.49
  4. Step 4: Simplify right side
    2,854.13x = 3,881,000.96
  5. Step 5: Solve for x
    x = 3,881,000.96/2,854.13
  6. Step 6: Final answer
    x = 1,359.78

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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.