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Finding the Fourth Proportional to 2,116.21, 3,174.27 and 577.21

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Solution

The fourth proportional to 2,116.21, 3,174.27 and 577.21 is: 865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.21 : 3,174.27 = 577.21 : x
  2. Step 2: Convert to fraction form
    2,116.21/3,174.27 = 577.21/x
  3. Step 3: Cross multiply
    2,116.21x = 3,174.27 × 577.21
  4. Step 4: Simplify right side
    2,116.21x = 1,832,220.39
  5. Step 5: Solve for x
    x = 1,832,220.39/2,116.21
  6. Step 6: Final answer
    x = 865.80

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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.