Home / 1,306.05-1,805.82-1,142.04

Finding the Fourth Proportional to 1,306.05, 1,805.82 and 1,142.04

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Solution

The fourth proportional to 1,306.05, 1,805.82 and 1,142.04 is: 1,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.05 : 1,805.82 = 1,142.04 : x
  2. Step 2: Convert to fraction form
    1,306.05/1,805.82 = 1,142.04/x
  3. Step 3: Cross multiply
    1,306.05x = 1,805.82 × 1,142.04
  4. Step 4: Simplify right side
    1,306.05x = 2,062,318.67
  5. Step 5: Solve for x
    x = 2,062,318.67/1,306.05
  6. Step 6: Final answer
    x = 1,579.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.