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Finding the Fourth Proportional to 2,296.72, 3,168.36 and 1,364.56

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Solution

The fourth proportional to 2,296.72, 3,168.36 and 1,364.56 is: 1,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.72 : 3,168.36 = 1,364.56 : x
  2. Step 2: Convert to fraction form
    2,296.72/3,168.36 = 1,364.56/x
  3. Step 3: Cross multiply
    2,296.72x = 3,168.36 × 1,364.56
  4. Step 4: Simplify right side
    2,296.72x = 4,323,417.32
  5. Step 5: Solve for x
    x = 4,323,417.32/2,296.72
  6. Step 6: Final answer
    x = 1,882.43

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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.