Home / 2,743.14-3,785.56-1,564.22

Finding the Fourth Proportional to 2,743.14, 3,785.56 and 1,564.22

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Solution

The fourth proportional to 2,743.14, 3,785.56 and 1,564.22 is: 2,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.14 : 3,785.56 = 1,564.22 : x
  2. Step 2: Convert to fraction form
    2,743.14/3,785.56 = 1,564.22/x
  3. Step 3: Cross multiply
    2,743.14x = 3,785.56 × 1,564.22
  4. Step 4: Simplify right side
    2,743.14x = 5,921,448.66
  5. Step 5: Solve for x
    x = 5,921,448.66/2,743.14
  6. Step 6: Final answer
    x = 2,158.64

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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.