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Finding the Fourth Proportional to 2,314.42, 3,191.11 and 1,606.87

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Solution

The fourth proportional to 2,314.42, 3,191.11 and 1,606.87 is: 2,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.42 : 3,191.11 = 1,606.87 : x
  2. Step 2: Convert to fraction form
    2,314.42/3,191.11 = 1,606.87/x
  3. Step 3: Cross multiply
    2,314.42x = 3,191.11 × 1,606.87
  4. Step 4: Simplify right side
    2,314.42x = 5,127,698.93
  5. Step 5: Solve for x
    x = 5,127,698.93/2,314.42
  6. Step 6: Final answer
    x = 2,215.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.