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Finding the Fourth Proportional to 2,061.71, 3,090.34 and 892.27

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Solution

The fourth proportional to 2,061.71, 3,090.34 and 892.27 is: 1,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.71 : 3,090.34 = 892.27 : x
  2. Step 2: Convert to fraction form
    2,061.71/3,090.34 = 892.27/x
  3. Step 3: Cross multiply
    2,061.71x = 3,090.34 × 892.27
  4. Step 4: Simplify right side
    2,061.71x = 2,757,417.67
  5. Step 5: Solve for x
    x = 2,757,417.67/2,061.71
  6. Step 6: Final answer
    x = 1,337.44

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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.