Home / 2,743.36-3,784.96-1,564.48

Finding the Fourth Proportional to 2,743.36, 3,784.96 and 1,564.48

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Solution

The fourth proportional to 2,743.36, 3,784.96 and 1,564.48 is: 2,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.36 : 3,784.96 = 1,564.48 : x
  2. Step 2: Convert to fraction form
    2,743.36/3,784.96 = 1,564.48/x
  3. Step 3: Cross multiply
    2,743.36x = 3,784.96 × 1,564.48
  4. Step 4: Simplify right side
    2,743.36x = 5,921,494.22
  5. Step 5: Solve for x
    x = 5,921,494.22/2,743.36
  6. Step 6: Final answer
    x = 2,158.48

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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.