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Finding the Fourth Proportional to 3,180.77, 4,391.12 and 2,471.01

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Solution

The fourth proportional to 3,180.77, 4,391.12 and 2,471.01 is: 3,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.77 : 4,391.12 = 2,471.01 : x
  2. Step 2: Convert to fraction form
    3,180.77/4,391.12 = 2,471.01/x
  3. Step 3: Cross multiply
    3,180.77x = 4,391.12 × 2,471.01
  4. Step 4: Simplify right side
    3,180.77x = 10,850,521.24
  5. Step 5: Solve for x
    x = 10,850,521.24/3,180.77
  6. Step 6: Final answer
    x = 3,411.29

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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.