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Finding the Fourth Proportional to 2,783.08, 3,844.02 and 2,201.32

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Solution

The fourth proportional to 2,783.08, 3,844.02 and 2,201.32 is: 3,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.08 : 3,844.02 = 2,201.32 : x
  2. Step 2: Convert to fraction form
    2,783.08/3,844.02 = 2,201.32/x
  3. Step 3: Cross multiply
    2,783.08x = 3,844.02 × 2,201.32
  4. Step 4: Simplify right side
    2,783.08x = 8,461,918.11
  5. Step 5: Solve for x
    x = 8,461,918.11/2,783.08
  6. Step 6: Final answer
    x = 3,040.49

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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.