Home / 2,202.96-3,298.02-1,160.48

Finding the Fourth Proportional to 2,202.96, 3,298.02 and 1,160.48

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Solution

The fourth proportional to 2,202.96, 3,298.02 and 1,160.48 is: 1,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.96 : 3,298.02 = 1,160.48 : x
  2. Step 2: Convert to fraction form
    2,202.96/3,298.02 = 1,160.48/x
  3. Step 3: Cross multiply
    2,202.96x = 3,298.02 × 1,160.48
  4. Step 4: Simplify right side
    2,202.96x = 3,827,286.25
  5. Step 5: Solve for x
    x = 3,827,286.25/2,202.96
  6. Step 6: Final answer
    x = 1,737.34

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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.