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Finding the Fourth Proportional to 2,785.95, 3,843.36 and 1,606.77

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Solution

The fourth proportional to 2,785.95, 3,843.36 and 1,606.77 is: 2,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.95 : 3,843.36 = 1,606.77 : x
  2. Step 2: Convert to fraction form
    2,785.95/3,843.36 = 1,606.77/x
  3. Step 3: Cross multiply
    2,785.95x = 3,843.36 × 1,606.77
  4. Step 4: Simplify right side
    2,785.95x = 6,175,395.55
  5. Step 5: Solve for x
    x = 6,175,395.55/2,785.95
  6. Step 6: Final answer
    x = 2,216.62

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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.