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Finding the Fourth Proportional to 3,113.93, 4,663.97 and 1,794.57

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Solution

The fourth proportional to 3,113.93, 4,663.97 and 1,794.57 is: 2,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.93 : 4,663.97 = 1,794.57 : x
  2. Step 2: Convert to fraction form
    3,113.93/4,663.97 = 1,794.57/x
  3. Step 3: Cross multiply
    3,113.93x = 4,663.97 × 1,794.57
  4. Step 4: Simplify right side
    3,113.93x = 8,369,811.67
  5. Step 5: Solve for x
    x = 8,369,811.67/3,113.93
  6. Step 6: Final answer
    x = 2,687.87

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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.