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Finding the Fourth Proportional to 2,397.71, 3,614.36 and 2,190.08

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Solution

The fourth proportional to 2,397.71, 3,614.36 and 2,190.08 is: 3,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.71 : 3,614.36 = 2,190.08 : x
  2. Step 2: Convert to fraction form
    2,397.71/3,614.36 = 2,190.08/x
  3. Step 3: Cross multiply
    2,397.71x = 3,614.36 × 2,190.08
  4. Step 4: Simplify right side
    2,397.71x = 7,915,735.63
  5. Step 5: Solve for x
    x = 7,915,735.63/2,397.71
  6. Step 6: Final answer
    x = 3,301.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.