Home / 2,272.66-3,407.50-1,102.34

Finding the Fourth Proportional to 2,272.66, 3,407.50 and 1,102.34

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Solution

The fourth proportional to 2,272.66, 3,407.50 and 1,102.34 is: 1,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.66 : 3,407.50 = 1,102.34 : x
  2. Step 2: Convert to fraction form
    2,272.66/3,407.50 = 1,102.34/x
  3. Step 3: Cross multiply
    2,272.66x = 3,407.50 × 1,102.34
  4. Step 4: Simplify right side
    2,272.66x = 3,756,223.55
  5. Step 5: Solve for x
    x = 3,756,223.55/2,272.66
  6. Step 6: Final answer
    x = 1,652.79

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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.