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Finding the Fourth Proportional to 2,296.81, 3,167.79 and 2,031.53

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Solution

The fourth proportional to 2,296.81, 3,167.79 and 2,031.53 is: 2,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.81 : 3,167.79 = 2,031.53 : x
  2. Step 2: Convert to fraction form
    2,296.81/3,167.79 = 2,031.53/x
  3. Step 3: Cross multiply
    2,296.81x = 3,167.79 × 2,031.53
  4. Step 4: Simplify right side
    2,296.81x = 6,435,460.42
  5. Step 5: Solve for x
    x = 6,435,460.42/2,296.81
  6. Step 6: Final answer
    x = 2,801.92

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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.