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Finding the Fourth Proportional to 3,138.94, 4,331.73 and 1,812.61

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Solution

The fourth proportional to 3,138.94, 4,331.73 and 1,812.61 is: 2,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.94 : 4,331.73 = 1,812.61 : x
  2. Step 2: Convert to fraction form
    3,138.94/4,331.73 = 1,812.61/x
  3. Step 3: Cross multiply
    3,138.94x = 4,331.73 × 1,812.61
  4. Step 4: Simplify right side
    3,138.94x = 7,851,737.12
  5. Step 5: Solve for x
    x = 7,851,737.12/3,138.94
  6. Step 6: Final answer
    x = 2,501.40

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Why These Related Problems?

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