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Finding the Fourth Proportional to 2,281.19, 3,420.41 and 892.87

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Solution

The fourth proportional to 2,281.19, 3,420.41 and 892.87 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.19 : 3,420.41 = 892.87 : x
  2. Step 2: Convert to fraction form
    2,281.19/3,420.41 = 892.87/x
  3. Step 3: Cross multiply
    2,281.19x = 3,420.41 × 892.87
  4. Step 4: Simplify right side
    2,281.19x = 3,053,981.48
  5. Step 5: Solve for x
    x = 3,053,981.48/2,281.19
  6. Step 6: Final answer
    x = 1,338.77

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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.