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Finding the Fourth Proportional to 2,304.74, 3,180.99 and 1,408.88

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Solution

The fourth proportional to 2,304.74, 3,180.99 and 1,408.88 is: 1,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.74 : 3,180.99 = 1,408.88 : x
  2. Step 2: Convert to fraction form
    2,304.74/3,180.99 = 1,408.88/x
  3. Step 3: Cross multiply
    2,304.74x = 3,180.99 × 1,408.88
  4. Step 4: Simplify right side
    2,304.74x = 4,481,626.15
  5. Step 5: Solve for x
    x = 4,481,626.15/2,304.74
  6. Step 6: Final answer
    x = 1,944.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.