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Finding the Fourth Proportional to 2,669.71, 3,671.89 and 2,337.56

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Solution

The fourth proportional to 2,669.71, 3,671.89 and 2,337.56 is: 3,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.71 : 3,671.89 = 2,337.56 : x
  2. Step 2: Convert to fraction form
    2,669.71/3,671.89 = 2,337.56/x
  3. Step 3: Cross multiply
    2,669.71x = 3,671.89 × 2,337.56
  4. Step 4: Simplify right side
    2,669.71x = 8,583,233.14
  5. Step 5: Solve for x
    x = 8,583,233.14/2,669.71
  6. Step 6: Final answer
    x = 3,215.05

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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.