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Finding the Fourth Proportional to 2,815.84, 3,883.98 and 1,695.61

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Solution

The fourth proportional to 2,815.84, 3,883.98 and 1,695.61 is: 2,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.84 : 3,883.98 = 1,695.61 : x
  2. Step 2: Convert to fraction form
    2,815.84/3,883.98 = 1,695.61/x
  3. Step 3: Cross multiply
    2,815.84x = 3,883.98 × 1,695.61
  4. Step 4: Simplify right side
    2,815.84x = 6,585,715.33
  5. Step 5: Solve for x
    x = 6,585,715.33/2,815.84
  6. Step 6: Final answer
    x = 2,338.81

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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.