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Finding the Fourth Proportional to 2,182.83, 3,274.90 and 1,259.05

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Solution

The fourth proportional to 2,182.83, 3,274.90 and 1,259.05 is: 1,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.83 : 3,274.90 = 1,259.05 : x
  2. Step 2: Convert to fraction form
    2,182.83/3,274.90 = 1,259.05/x
  3. Step 3: Cross multiply
    2,182.83x = 3,274.90 × 1,259.05
  4. Step 4: Simplify right side
    2,182.83x = 4,123,273.77
  5. Step 5: Solve for x
    x = 4,123,273.77/2,182.83
  6. Step 6: Final answer
    x = 1,888.95

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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.