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Finding the Fourth Proportional to 2,838.12, 4,257.72 and 889.92

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Solution

The fourth proportional to 2,838.12, 4,257.72 and 889.92 is: 1,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.12 : 4,257.72 = 889.92 : x
  2. Step 2: Convert to fraction form
    2,838.12/4,257.72 = 889.92/x
  3. Step 3: Cross multiply
    2,838.12x = 4,257.72 × 889.92
  4. Step 4: Simplify right side
    2,838.12x = 3,789,030.18
  5. Step 5: Solve for x
    x = 3,789,030.18/2,838.12
  6. Step 6: Final answer
    x = 1,335.05

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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.