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Finding the Fourth Proportional to 2,191.67, 3,271.91 and 2,114.79

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Solution

The fourth proportional to 2,191.67, 3,271.91 and 2,114.79 is: 3,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.67 : 3,271.91 = 2,114.79 : x
  2. Step 2: Convert to fraction form
    2,191.67/3,271.91 = 2,114.79/x
  3. Step 3: Cross multiply
    2,191.67x = 3,271.91 × 2,114.79
  4. Step 4: Simplify right side
    2,191.67x = 6,919,379.71
  5. Step 5: Solve for x
    x = 6,919,379.71/2,191.67
  6. Step 6: Final answer
    x = 3,157.13

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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.