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Finding the Fourth Proportional to 2,854.64, 4,282.04 and 1,394.96

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Solution

The fourth proportional to 2,854.64, 4,282.04 and 1,394.96 is: 2,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.64 : 4,282.04 = 1,394.96 : x
  2. Step 2: Convert to fraction form
    2,854.64/4,282.04 = 1,394.96/x
  3. Step 3: Cross multiply
    2,854.64x = 4,282.04 × 1,394.96
  4. Step 4: Simplify right side
    2,854.64x = 5,973,274.52
  5. Step 5: Solve for x
    x = 5,973,274.52/2,854.64
  6. Step 6: Final answer
    x = 2,092.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.