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Finding the Fourth Proportional to 2,296.31, 3,168.92 and 1,301.63

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Solution

The fourth proportional to 2,296.31, 3,168.92 and 1,301.63 is: 1,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.31 : 3,168.92 = 1,301.63 : x
  2. Step 2: Convert to fraction form
    2,296.31/3,168.92 = 1,301.63/x
  3. Step 3: Cross multiply
    2,296.31x = 3,168.92 × 1,301.63
  4. Step 4: Simplify right side
    2,296.31x = 4,124,748.75
  5. Step 5: Solve for x
    x = 4,124,748.75/2,296.31
  6. Step 6: Final answer
    x = 1,796.25

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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.