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Finding the Fourth Proportional to 2,221.16, 3,331.86 and 577.70

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Solution

The fourth proportional to 2,221.16, 3,331.86 and 577.70 is: 866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.16 : 3,331.86 = 577.70 : x
  2. Step 2: Convert to fraction form
    2,221.16/3,331.86 = 577.70/x
  3. Step 3: Cross multiply
    2,221.16x = 3,331.86 × 577.70
  4. Step 4: Simplify right side
    2,221.16x = 1,924,815.52
  5. Step 5: Solve for x
    x = 1,924,815.52/2,221.16
  6. Step 6: Final answer
    x = 866.58

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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.