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Finding the Fourth Proportional to 2,726.02, 4,089.03 and 1,427.17

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Solution

The fourth proportional to 2,726.02, 4,089.03 and 1,427.17 is: 2,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.02 : 4,089.03 = 1,427.17 : x
  2. Step 2: Convert to fraction form
    2,726.02/4,089.03 = 1,427.17/x
  3. Step 3: Cross multiply
    2,726.02x = 4,089.03 × 1,427.17
  4. Step 4: Simplify right side
    2,726.02x = 5,835,740.95
  5. Step 5: Solve for x
    x = 5,835,740.95/2,726.02
  6. Step 6: Final answer
    x = 2,140.76

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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.