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Finding the Fourth Proportional to 2,123.14, 3,180.39 and 965.38

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Solution

The fourth proportional to 2,123.14, 3,180.39 and 965.38 is: 1,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.14 : 3,180.39 = 965.38 : x
  2. Step 2: Convert to fraction form
    2,123.14/3,180.39 = 965.38/x
  3. Step 3: Cross multiply
    2,123.14x = 3,180.39 × 965.38
  4. Step 4: Simplify right side
    2,123.14x = 3,070,284.90
  5. Step 5: Solve for x
    x = 3,070,284.90/2,123.14
  6. Step 6: Final answer
    x = 1,446.11

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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.