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Finding the Fourth Proportional to 2,785.76, 3,845.24 and 1,607.64

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Solution

The fourth proportional to 2,785.76, 3,845.24 and 1,607.64 is: 2,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.76 : 3,845.24 = 1,607.64 : x
  2. Step 2: Convert to fraction form
    2,785.76/3,845.24 = 1,607.64/x
  3. Step 3: Cross multiply
    2,785.76x = 3,845.24 × 1,607.64
  4. Step 4: Simplify right side
    2,785.76x = 6,181,761.63
  5. Step 5: Solve for x
    x = 6,181,761.63/2,785.76
  6. Step 6: Final answer
    x = 2,219.06

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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.