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Finding the Fourth Proportional to 2,296.71, 3,445.97 and 1,322.28

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Solution

The fourth proportional to 2,296.71, 3,445.97 and 1,322.28 is: 1,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.71 : 3,445.97 = 1,322.28 : x
  2. Step 2: Convert to fraction form
    2,296.71/3,445.97 = 1,322.28/x
  3. Step 3: Cross multiply
    2,296.71x = 3,445.97 × 1,322.28
  4. Step 4: Simplify right side
    2,296.71x = 4,556,530.60
  5. Step 5: Solve for x
    x = 4,556,530.60/2,296.71
  6. Step 6: Final answer
    x = 1,983.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.