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Finding the Fourth Proportional to 2,584.80, 3,870.60 and 2,370.96

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Solution

The fourth proportional to 2,584.80, 3,870.60 and 2,370.96 is: 3,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.80 : 3,870.60 = 2,370.96 : x
  2. Step 2: Convert to fraction form
    2,584.80/3,870.60 = 2,370.96/x
  3. Step 3: Cross multiply
    2,584.80x = 3,870.60 × 2,370.96
  4. Step 4: Simplify right side
    2,584.80x = 9,177,037.78
  5. Step 5: Solve for x
    x = 9,177,037.78/2,584.80
  6. Step 6: Final answer
    x = 3,550.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.