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Finding the Fourth Proportional to 3,206.93, 4,425.27 and 1,880.39

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Solution

The fourth proportional to 3,206.93, 4,425.27 and 1,880.39 is: 2,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.93 : 4,425.27 = 1,880.39 : x
  2. Step 2: Convert to fraction form
    3,206.93/4,425.27 = 1,880.39/x
  3. Step 3: Cross multiply
    3,206.93x = 4,425.27 × 1,880.39
  4. Step 4: Simplify right side
    3,206.93x = 8,321,233.46
  5. Step 5: Solve for x
    x = 8,321,233.46/3,206.93
  6. Step 6: Final answer
    x = 2,594.77

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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.