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Finding the Fourth Proportional to 2,062.99, 3,091.58 and 1,138.98

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Solution

The fourth proportional to 2,062.99, 3,091.58 and 1,138.98 is: 1,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.99 : 3,091.58 = 1,138.98 : x
  2. Step 2: Convert to fraction form
    2,062.99/3,091.58 = 1,138.98/x
  3. Step 3: Cross multiply
    2,062.99x = 3,091.58 × 1,138.98
  4. Step 4: Simplify right side
    2,062.99x = 3,521,247.79
  5. Step 5: Solve for x
    x = 3,521,247.79/2,062.99
  6. Step 6: Final answer
    x = 1,706.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.