Home / 2,743.14-3,785.58-1,564.23

Finding the Fourth Proportional to 2,743.14, 3,785.58 and 1,564.23

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Solution

The fourth proportional to 2,743.14, 3,785.58 and 1,564.23 is: 2,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.14 : 3,785.58 = 1,564.23 : x
  2. Step 2: Convert to fraction form
    2,743.14/3,785.58 = 1,564.23/x
  3. Step 3: Cross multiply
    2,743.14x = 3,785.58 × 1,564.23
  4. Step 4: Simplify right side
    2,743.14x = 5,921,517.80
  5. Step 5: Solve for x
    x = 5,921,517.80/2,743.14
  6. Step 6: Final answer
    x = 2,158.66

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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.