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Finding the Fourth Proportional to 2,081.59, 3,122.38 and 620.70

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Solution

The fourth proportional to 2,081.59, 3,122.38 and 620.70 is: 931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.59 : 3,122.38 = 620.70 : x
  2. Step 2: Convert to fraction form
    2,081.59/3,122.38 = 620.70/x
  3. Step 3: Cross multiply
    2,081.59x = 3,122.38 × 620.70
  4. Step 4: Simplify right side
    2,081.59x = 1,938,061.27
  5. Step 5: Solve for x
    x = 1,938,061.27/2,081.59
  6. Step 6: Final answer
    x = 931.05

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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.