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Finding the Fourth Proportional to 2,083.59, 3,122.65 and 1,533.20

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Solution

The fourth proportional to 2,083.59, 3,122.65 and 1,533.20 is: 2,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.59 : 3,122.65 = 1,533.20 : x
  2. Step 2: Convert to fraction form
    2,083.59/3,122.65 = 1,533.20/x
  3. Step 3: Cross multiply
    2,083.59x = 3,122.65 × 1,533.20
  4. Step 4: Simplify right side
    2,083.59x = 4,787,633.28
  5. Step 5: Solve for x
    x = 4,787,633.28/2,083.59
  6. Step 6: Final answer
    x = 2,297.78

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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.