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Finding the Fourth Proportional to 2,310.80, 3,464.48 and 1,442.48

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Solution

The fourth proportional to 2,310.80, 3,464.48 and 1,442.48 is: 2,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.80 : 3,464.48 = 1,442.48 : x
  2. Step 2: Convert to fraction form
    2,310.80/3,464.48 = 1,442.48/x
  3. Step 3: Cross multiply
    2,310.80x = 3,464.48 × 1,442.48
  4. Step 4: Simplify right side
    2,310.80x = 4,997,443.11
  5. Step 5: Solve for x
    x = 4,997,443.11/2,310.80
  6. Step 6: Final answer
    x = 2,162.65

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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.