Home / 2,584.80-3,875.76-2,277.36

Finding the Fourth Proportional to 2,584.80, 3,875.76 and 2,277.36

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Solution

The fourth proportional to 2,584.80, 3,875.76 and 2,277.36 is: 3,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.80 : 3,875.76 = 2,277.36 : x
  2. Step 2: Convert to fraction form
    2,584.80/3,875.76 = 2,277.36/x
  3. Step 3: Cross multiply
    2,584.80x = 3,875.76 × 2,277.36
  4. Step 4: Simplify right side
    2,584.80x = 8,826,500.79
  5. Step 5: Solve for x
    x = 8,826,500.79/2,584.80
  6. Step 6: Final answer
    x = 3,414.77

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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.