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Finding the Fourth Proportional to 2,071.76, 2,859.31 and 1,408.83

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Solution

The fourth proportional to 2,071.76, 2,859.31 and 1,408.83 is: 1,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.76 : 2,859.31 = 1,408.83 : x
  2. Step 2: Convert to fraction form
    2,071.76/2,859.31 = 1,408.83/x
  3. Step 3: Cross multiply
    2,071.76x = 2,859.31 × 1,408.83
  4. Step 4: Simplify right side
    2,071.76x = 4,028,274.73
  5. Step 5: Solve for x
    x = 4,028,274.73/2,071.76
  6. Step 6: Final answer
    x = 1,944.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.