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Finding the Fourth Proportional to 3,178.92, 4,384.05 and 2,058.69

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Solution

The fourth proportional to 3,178.92, 4,384.05 and 2,058.69 is: 2,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.92 : 4,384.05 = 2,058.69 : x
  2. Step 2: Convert to fraction form
    3,178.92/4,384.05 = 2,058.69/x
  3. Step 3: Cross multiply
    3,178.92x = 4,384.05 × 2,058.69
  4. Step 4: Simplify right side
    3,178.92x = 9,025,399.89
  5. Step 5: Solve for x
    x = 9,025,399.89/3,178.92
  6. Step 6: Final answer
    x = 2,839.14

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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.