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Finding the Fourth Proportional to 2,500, 3,450 and 1,880.80

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Solution

The fourth proportional to 2,500, 3,450 and 1,880.80 is: 2,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500 : 3,450 = 1,880.80 : x
  2. Step 2: Convert to fraction form
    2,500/3,450 = 1,880.80/x
  3. Step 3: Cross multiply
    2,500x = 3,450 × 1,880.80
  4. Step 4: Simplify right side
    2,500x = 6,488,760
  5. Step 5: Solve for x
    x = 6,488,760/2,500
  6. Step 6: Final answer
    x = 2,595.50

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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.