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Finding the Fourth Proportional to 3,139.41, 4,331.14 and 1,880.54

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Solution

The fourth proportional to 3,139.41, 4,331.14 and 1,880.54 is: 2,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.41 : 4,331.14 = 1,880.54 : x
  2. Step 2: Convert to fraction form
    3,139.41/4,331.14 = 1,880.54/x
  3. Step 3: Cross multiply
    3,139.41x = 4,331.14 × 1,880.54
  4. Step 4: Simplify right side
    3,139.41x = 8,144,871.90
  5. Step 5: Solve for x
    x = 8,144,871.90/3,139.41
  6. Step 6: Final answer
    x = 2,594.39

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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.