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Finding the Fourth Proportional to 2,854.10, 4,281.15 and 2,527.70

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Solution

The fourth proportional to 2,854.10, 4,281.15 and 2,527.70 is: 3,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.10 : 4,281.15 = 2,527.70 : x
  2. Step 2: Convert to fraction form
    2,854.10/4,281.15 = 2,527.70/x
  3. Step 3: Cross multiply
    2,854.10x = 4,281.15 × 2,527.70
  4. Step 4: Simplify right side
    2,854.10x = 10,821,462.86
  5. Step 5: Solve for x
    x = 10,821,462.86/2,854.10
  6. Step 6: Final answer
    x = 3,791.55

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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.