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Finding the Fourth Proportional to 2,050.25, 3,074.76 and 817.02

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Solution

The fourth proportional to 2,050.25, 3,074.76 and 817.02 is: 1,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.25 : 3,074.76 = 817.02 : x
  2. Step 2: Convert to fraction form
    2,050.25/3,074.76 = 817.02/x
  3. Step 3: Cross multiply
    2,050.25x = 3,074.76 × 817.02
  4. Step 4: Simplify right side
    2,050.25x = 2,512,140.42
  5. Step 5: Solve for x
    x = 2,512,140.42/2,050.25
  6. Step 6: Final answer
    x = 1,225.29

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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.