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Finding the Fourth Proportional to 2,191.35, 3,271.05 and 1,914.56

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Solution

The fourth proportional to 2,191.35, 3,271.05 and 1,914.56 is: 2,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.35 : 3,271.05 = 1,914.56 : x
  2. Step 2: Convert to fraction form
    2,191.35/3,271.05 = 1,914.56/x
  3. Step 3: Cross multiply
    2,191.35x = 3,271.05 × 1,914.56
  4. Step 4: Simplify right side
    2,191.35x = 6,262,595.56
  5. Step 5: Solve for x
    x = 6,262,595.56/2,191.35
  6. Step 6: Final answer
    x = 2,857.87

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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.