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Finding the Fourth Proportional to 1,906.65, 2,854.58 and 1,211.59

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Solution

The fourth proportional to 1,906.65, 2,854.58 and 1,211.59 is: 1,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.65 : 2,854.58 = 1,211.59 : x
  2. Step 2: Convert to fraction form
    1,906.65/2,854.58 = 1,211.59/x
  3. Step 3: Cross multiply
    1,906.65x = 2,854.58 × 1,211.59
  4. Step 4: Simplify right side
    1,906.65x = 3,458,574.52
  5. Step 5: Solve for x
    x = 3,458,574.52/1,906.65
  6. Step 6: Final answer
    x = 1,813.96

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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.