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Finding the Fourth Proportional to 2,182.95, 3,275.55 and 1,361.07

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Solution

The fourth proportional to 2,182.95, 3,275.55 and 1,361.07 is: 2,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.95 : 3,275.55 = 1,361.07 : x
  2. Step 2: Convert to fraction form
    2,182.95/3,275.55 = 1,361.07/x
  3. Step 3: Cross multiply
    2,182.95x = 3,275.55 × 1,361.07
  4. Step 4: Simplify right side
    2,182.95x = 4,458,252.84
  5. Step 5: Solve for x
    x = 4,458,252.84/2,182.95
  6. Step 6: Final answer
    x = 2,042.31

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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.