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Finding the Fourth Proportional to 1,849.95, 2,775.06 and 1,268.51

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Solution

The fourth proportional to 1,849.95, 2,775.06 and 1,268.51 is: 1,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.95 : 2,775.06 = 1,268.51 : x
  2. Step 2: Convert to fraction form
    1,849.95/2,775.06 = 1,268.51/x
  3. Step 3: Cross multiply
    1,849.95x = 2,775.06 × 1,268.51
  4. Step 4: Simplify right side
    1,849.95x = 3,520,177.49
  5. Step 5: Solve for x
    x = 3,520,177.49/1,849.95
  6. Step 6: Final answer
    x = 1,902.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.