Home / 2,045-2,821.88-1,160.81

Finding the Fourth Proportional to 2,045, 2,821.88 and 1,160.81

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Solution

The fourth proportional to 2,045, 2,821.88 and 1,160.81 is: 1,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045 : 2,821.88 = 1,160.81 : x
  2. Step 2: Convert to fraction form
    2,045/2,821.88 = 1,160.81/x
  3. Step 3: Cross multiply
    2,045x = 2,821.88 × 1,160.81
  4. Step 4: Simplify right side
    2,045x = 3,275,660.72
  5. Step 5: Solve for x
    x = 3,275,660.72/2,045
  6. Step 6: Final answer
    x = 1,601.79

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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.