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Finding the Fourth Proportional to 1,329.20, 1,994.68 and 1,230.16

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Solution

The fourth proportional to 1,329.20, 1,994.68 and 1,230.16 is: 1,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.20 : 1,994.68 = 1,230.16 : x
  2. Step 2: Convert to fraction form
    1,329.20/1,994.68 = 1,230.16/x
  3. Step 3: Cross multiply
    1,329.20x = 1,994.68 × 1,230.16
  4. Step 4: Simplify right side
    1,329.20x = 2,453,775.55
  5. Step 5: Solve for x
    x = 2,453,775.55/1,329.20
  6. Step 6: Final answer
    x = 1,846.05

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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.