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Finding the Fourth Proportional to 2,642.64, 3,963.96 and 1,546.25

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Solution

The fourth proportional to 2,642.64, 3,963.96 and 1,546.25 is: 2,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.64 : 3,963.96 = 1,546.25 : x
  2. Step 2: Convert to fraction form
    2,642.64/3,963.96 = 1,546.25/x
  3. Step 3: Cross multiply
    2,642.64x = 3,963.96 × 1,546.25
  4. Step 4: Simplify right side
    2,642.64x = 6,129,253.33
  5. Step 5: Solve for x
    x = 6,129,253.33/2,642.64
  6. Step 6: Final answer
    x = 2,319.37

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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.