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Finding the Fourth Proportional to 2,281.20, 3,420.18 and 1,843

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Solution

The fourth proportional to 2,281.20, 3,420.18 and 1,843 is: 2,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.20 : 3,420.18 = 1,843 : x
  2. Step 2: Convert to fraction form
    2,281.20/3,420.18 = 1,843/x
  3. Step 3: Cross multiply
    2,281.20x = 3,420.18 × 1,843
  4. Step 4: Simplify right side
    2,281.20x = 6,303,391.74
  5. Step 5: Solve for x
    x = 6,303,391.74/2,281.20
  6. Step 6: Final answer
    x = 2,763.19

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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.