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Finding the Fourth Proportional to 2,047.05, 3,071.07 and 1,122.39

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Solution

The fourth proportional to 2,047.05, 3,071.07 and 1,122.39 is: 1,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.05 : 3,071.07 = 1,122.39 : x
  2. Step 2: Convert to fraction form
    2,047.05/3,071.07 = 1,122.39/x
  3. Step 3: Cross multiply
    2,047.05x = 3,071.07 × 1,122.39
  4. Step 4: Simplify right side
    2,047.05x = 3,446,938.26
  5. Step 5: Solve for x
    x = 3,446,938.26/2,047.05
  6. Step 6: Final answer
    x = 1,683.86

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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.