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Finding the Fourth Proportional to 3,206.65, 4,425.20 and 1,880.38

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Solution

The fourth proportional to 3,206.65, 4,425.20 and 1,880.38 is: 2,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.65 : 4,425.20 = 1,880.38 : x
  2. Step 2: Convert to fraction form
    3,206.65/4,425.20 = 1,880.38/x
  3. Step 3: Cross multiply
    3,206.65x = 4,425.20 × 1,880.38
  4. Step 4: Simplify right side
    3,206.65x = 8,321,041.81
  5. Step 5: Solve for x
    x = 8,321,041.81/3,206.65
  6. Step 6: Final answer
    x = 2,594.93

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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.