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Finding the Fourth Proportional to 2,726.55, 4,087.97 and 1,409.76

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Solution

The fourth proportional to 2,726.55, 4,087.97 and 1,409.76 is: 2,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.55 : 4,087.97 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    2,726.55/4,087.97 = 1,409.76/x
  3. Step 3: Cross multiply
    2,726.55x = 4,087.97 × 1,409.76
  4. Step 4: Simplify right side
    2,726.55x = 5,763,049.54
  5. Step 5: Solve for x
    x = 5,763,049.54/2,726.55
  6. Step 6: Final answer
    x = 2,113.68

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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.