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Finding the Fourth Proportional to 2,730.76, 4,095.60 and 881.42

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Solution

The fourth proportional to 2,730.76, 4,095.60 and 881.42 is: 1,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.76 : 4,095.60 = 881.42 : x
  2. Step 2: Convert to fraction form
    2,730.76/4,095.60 = 881.42/x
  3. Step 3: Cross multiply
    2,730.76x = 4,095.60 × 881.42
  4. Step 4: Simplify right side
    2,730.76x = 3,609,943.75
  5. Step 5: Solve for x
    x = 3,609,943.75/2,730.76
  6. Step 6: Final answer
    x = 1,321.96

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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.