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Finding the Fourth Proportional to 2,114.31, 3,157.42 and 2,091.43

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Solution

The fourth proportional to 2,114.31, 3,157.42 and 2,091.43 is: 3,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.31 : 3,157.42 = 2,091.43 : x
  2. Step 2: Convert to fraction form
    2,114.31/3,157.42 = 2,091.43/x
  3. Step 3: Cross multiply
    2,114.31x = 3,157.42 × 2,091.43
  4. Step 4: Simplify right side
    2,114.31x = 6,603,509.79
  5. Step 5: Solve for x
    x = 6,603,509.79/2,114.31
  6. Step 6: Final answer
    x = 3,123.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.