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Finding the Fourth Proportional to 2,517.40, 3,769.95 and 1,775.20

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Solution

The fourth proportional to 2,517.40, 3,769.95 and 1,775.20 is: 2,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.40 : 3,769.95 = 1,775.20 : x
  2. Step 2: Convert to fraction form
    2,517.40/3,769.95 = 1,775.20/x
  3. Step 3: Cross multiply
    2,517.40x = 3,769.95 × 1,775.20
  4. Step 4: Simplify right side
    2,517.40x = 6,692,415.24
  5. Step 5: Solve for x
    x = 6,692,415.24/2,517.40
  6. Step 6: Final answer
    x = 2,658.46

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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.