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Finding the Fourth Proportional to 2,191.55, 3,271.72 and 2,114.66

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Solution

The fourth proportional to 2,191.55, 3,271.72 and 2,114.66 is: 3,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.55 : 3,271.72 = 2,114.66 : x
  2. Step 2: Convert to fraction form
    2,191.55/3,271.72 = 2,114.66/x
  3. Step 3: Cross multiply
    2,191.55x = 3,271.72 × 2,114.66
  4. Step 4: Simplify right side
    2,191.55x = 6,918,575.42
  5. Step 5: Solve for x
    x = 6,918,575.42/2,191.55
  6. Step 6: Final answer
    x = 3,156.93

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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.