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Finding the Fourth Proportional to 2,642.96, 3,965.14 and 1,548.08

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Solution

The fourth proportional to 2,642.96, 3,965.14 and 1,548.08 is: 2,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.96 : 3,965.14 = 1,548.08 : x
  2. Step 2: Convert to fraction form
    2,642.96/3,965.14 = 1,548.08/x
  3. Step 3: Cross multiply
    2,642.96x = 3,965.14 × 1,548.08
  4. Step 4: Simplify right side
    2,642.96x = 6,138,353.93
  5. Step 5: Solve for x
    x = 6,138,353.93/2,642.96
  6. Step 6: Final answer
    x = 2,322.53

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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.