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Finding the Fourth Proportional to 2,686.92, 3,704.41 and 1,846.07

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Solution

The fourth proportional to 2,686.92, 3,704.41 and 1,846.07 is: 2,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.92 : 3,704.41 = 1,846.07 : x
  2. Step 2: Convert to fraction form
    2,686.92/3,704.41 = 1,846.07/x
  3. Step 3: Cross multiply
    2,686.92x = 3,704.41 × 1,846.07
  4. Step 4: Simplify right side
    2,686.92x = 6,838,597.85
  5. Step 5: Solve for x
    x = 6,838,597.85/2,686.92
  6. Step 6: Final answer
    x = 2,545.15

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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.