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Finding the Fourth Proportional to 2,293.71, 3,164.97 and 1,349.43

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Solution

The fourth proportional to 2,293.71, 3,164.97 and 1,349.43 is: 1,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.71 : 3,164.97 = 1,349.43 : x
  2. Step 2: Convert to fraction form
    2,293.71/3,164.97 = 1,349.43/x
  3. Step 3: Cross multiply
    2,293.71x = 3,164.97 × 1,349.43
  4. Step 4: Simplify right side
    2,293.71x = 4,270,905.47
  5. Step 5: Solve for x
    x = 4,270,905.47/2,293.71
  6. Step 6: Final answer
    x = 1,862.01

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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.