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Finding the Fourth Proportional to 2,310.48, 3,468.44 and 1,944.40

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Solution

The fourth proportional to 2,310.48, 3,468.44 and 1,944.40 is: 2,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.48 : 3,468.44 = 1,944.40 : x
  2. Step 2: Convert to fraction form
    2,310.48/3,468.44 = 1,944.40/x
  3. Step 3: Cross multiply
    2,310.48x = 3,468.44 × 1,944.40
  4. Step 4: Simplify right side
    2,310.48x = 6,744,034.74
  5. Step 5: Solve for x
    x = 6,744,034.74/2,310.48
  6. Step 6: Final answer
    x = 2,918.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.