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Finding the Fourth Proportional to 2,050.29, 3,076.85 and 817.58

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Solution

The fourth proportional to 2,050.29, 3,076.85 and 817.58 is: 1,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.29 : 3,076.85 = 817.58 : x
  2. Step 2: Convert to fraction form
    2,050.29/3,076.85 = 817.58/x
  3. Step 3: Cross multiply
    2,050.29x = 3,076.85 × 817.58
  4. Step 4: Simplify right side
    2,050.29x = 2,515,580.76
  5. Step 5: Solve for x
    x = 2,515,580.76/2,050.29
  6. Step 6: Final answer
    x = 1,226.94

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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.