Home / 2,290.60-3,433.74-829.36

Finding the Fourth Proportional to 2,290.60, 3,433.74 and 829.36

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Solution

The fourth proportional to 2,290.60, 3,433.74 and 829.36 is: 1,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.60 : 3,433.74 = 829.36 : x
  2. Step 2: Convert to fraction form
    2,290.60/3,433.74 = 829.36/x
  3. Step 3: Cross multiply
    2,290.60x = 3,433.74 × 829.36
  4. Step 4: Simplify right side
    2,290.60x = 2,847,806.61
  5. Step 5: Solve for x
    x = 2,847,806.61/2,290.60
  6. Step 6: Final answer
    x = 1,243.26

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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.