Home / 2,282.40-3,420.48-1,049.28

Finding the Fourth Proportional to 2,282.40, 3,420.48 and 1,049.28

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Solution

The fourth proportional to 2,282.40, 3,420.48 and 1,049.28 is: 1,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.40 : 3,420.48 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    2,282.40/3,420.48 = 1,049.28/x
  3. Step 3: Cross multiply
    2,282.40x = 3,420.48 × 1,049.28
  4. Step 4: Simplify right side
    2,282.40x = 3,589,041.25
  5. Step 5: Solve for x
    x = 3,589,041.25/2,282.40
  6. Step 6: Final answer
    x = 1,572.49

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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.