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Finding the Fourth Proportional to 1,906.77, 2,847.47 and 1,886.15

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Solution

The fourth proportional to 1,906.77, 2,847.47 and 1,886.15 is: 2,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.77 : 2,847.47 = 1,886.15 : x
  2. Step 2: Convert to fraction form
    1,906.77/2,847.47 = 1,886.15/x
  3. Step 3: Cross multiply
    1,906.77x = 2,847.47 × 1,886.15
  4. Step 4: Simplify right side
    1,906.77x = 5,370,753.23
  5. Step 5: Solve for x
    x = 5,370,753.23/1,906.77
  6. Step 6: Final answer
    x = 2,816.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.