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Finding the Fourth Proportional to 2,061.70, 3,089.85 and 828.10

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Solution

The fourth proportional to 2,061.70, 3,089.85 and 828.10 is: 1,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.70 : 3,089.85 = 828.10 : x
  2. Step 2: Convert to fraction form
    2,061.70/3,089.85 = 828.10/x
  3. Step 3: Cross multiply
    2,061.70x = 3,089.85 × 828.10
  4. Step 4: Simplify right side
    2,061.70x = 2,558,704.79
  5. Step 5: Solve for x
    x = 2,558,704.79/2,061.70
  6. Step 6: Final answer
    x = 1,241.07

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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.