Home / 2,275.40-3,141.78-1,578.80

Finding the Fourth Proportional to 2,275.40, 3,141.78 and 1,578.80

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Solution

The fourth proportional to 2,275.40, 3,141.78 and 1,578.80 is: 2,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.40 : 3,141.78 = 1,578.80 : x
  2. Step 2: Convert to fraction form
    2,275.40/3,141.78 = 1,578.80/x
  3. Step 3: Cross multiply
    2,275.40x = 3,141.78 × 1,578.80
  4. Step 4: Simplify right side
    2,275.40x = 4,960,242.26
  5. Step 5: Solve for x
    x = 4,960,242.26/2,275.40
  6. Step 6: Final answer
    x = 2,179.94

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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.