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Finding the Fourth Proportional to 2,846.57, 3,928.19 and 1,587.56

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Solution

The fourth proportional to 2,846.57, 3,928.19 and 1,587.56 is: 2,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.57 : 3,928.19 = 1,587.56 : x
  2. Step 2: Convert to fraction form
    2,846.57/3,928.19 = 1,587.56/x
  3. Step 3: Cross multiply
    2,846.57x = 3,928.19 × 1,587.56
  4. Step 4: Simplify right side
    2,846.57x = 6,236,209.74
  5. Step 5: Solve for x
    x = 6,236,209.74/2,846.57
  6. Step 6: Final answer
    x = 2,190.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.