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Finding the Fourth Proportional to 1,849.56, 2,785.13 and 1,365.99

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Solution

The fourth proportional to 1,849.56, 2,785.13 and 1,365.99 is: 2,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.56 : 2,785.13 = 1,365.99 : x
  2. Step 2: Convert to fraction form
    1,849.56/2,785.13 = 1,365.99/x
  3. Step 3: Cross multiply
    1,849.56x = 2,785.13 × 1,365.99
  4. Step 4: Simplify right side
    1,849.56x = 3,804,452.90
  5. Step 5: Solve for x
    x = 3,804,452.90/1,849.56
  6. Step 6: Final answer
    x = 2,056.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.