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Finding the Fourth Proportional to 2,846.96, 3,928.64 and 1,587.92

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Solution

The fourth proportional to 2,846.96, 3,928.64 and 1,587.92 is: 2,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.96 : 3,928.64 = 1,587.92 : x
  2. Step 2: Convert to fraction form
    2,846.96/3,928.64 = 1,587.92/x
  3. Step 3: Cross multiply
    2,846.96x = 3,928.64 × 1,587.92
  4. Step 4: Simplify right side
    2,846.96x = 6,238,366.03
  5. Step 5: Solve for x
    x = 6,238,366.03/2,846.96
  6. Step 6: Final answer
    x = 2,191.24

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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.