Home / 2,282.30-3,422.28-1,048.64

Finding the Fourth Proportional to 2,282.30, 3,422.28 and 1,048.64

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Solution

The fourth proportional to 2,282.30, 3,422.28 and 1,048.64 is: 1,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.30 : 3,422.28 = 1,048.64 : x
  2. Step 2: Convert to fraction form
    2,282.30/3,422.28 = 1,048.64/x
  3. Step 3: Cross multiply
    2,282.30x = 3,422.28 × 1,048.64
  4. Step 4: Simplify right side
    2,282.30x = 3,588,722.59
  5. Step 5: Solve for x
    x = 3,588,722.59/2,282.30
  6. Step 6: Final answer
    x = 1,572.41

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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.