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Finding the Fourth Proportional to 2,199.78, 3,035.76 and 1,268.28

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Solution

The fourth proportional to 2,199.78, 3,035.76 and 1,268.28 is: 1,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.78 : 3,035.76 = 1,268.28 : x
  2. Step 2: Convert to fraction form
    2,199.78/3,035.76 = 1,268.28/x
  3. Step 3: Cross multiply
    2,199.78x = 3,035.76 × 1,268.28
  4. Step 4: Simplify right side
    2,199.78x = 3,850,193.69
  5. Step 5: Solve for x
    x = 3,850,193.69/2,199.78
  6. Step 6: Final answer
    x = 1,750.26

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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.