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Finding the Fourth Proportional to 2,754, 4,125.87 and 1,365.75

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Solution

The fourth proportional to 2,754, 4,125.87 and 1,365.75 is: 2,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 4,125.87 = 1,365.75 : x
  2. Step 2: Convert to fraction form
    2,754/4,125.87 = 1,365.75/x
  3. Step 3: Cross multiply
    2,754x = 4,125.87 × 1,365.75
  4. Step 4: Simplify right side
    2,754x = 5,634,906.95
  5. Step 5: Solve for x
    x = 5,634,906.95/2,754
  6. Step 6: Final answer
    x = 2,046.08

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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.