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Finding the Fourth Proportional to 2,097.38, 3,143.91 and 1,123.22

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Solution

The fourth proportional to 2,097.38, 3,143.91 and 1,123.22 is: 1,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.38 : 3,143.91 = 1,123.22 : x
  2. Step 2: Convert to fraction form
    2,097.38/3,143.91 = 1,123.22/x
  3. Step 3: Cross multiply
    2,097.38x = 3,143.91 × 1,123.22
  4. Step 4: Simplify right side
    2,097.38x = 3,531,302.59
  5. Step 5: Solve for x
    x = 3,531,302.59/2,097.38
  6. Step 6: Final answer
    x = 1,683.67

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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.