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Finding the Fourth Proportional to 2,217.12, 3,325.39 and 657.28

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Solution

The fourth proportional to 2,217.12, 3,325.39 and 657.28 is: 985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.12 : 3,325.39 = 657.28 : x
  2. Step 2: Convert to fraction form
    2,217.12/3,325.39 = 657.28/x
  3. Step 3: Cross multiply
    2,217.12x = 3,325.39 × 657.28
  4. Step 4: Simplify right side
    2,217.12x = 2,185,714.85
  5. Step 5: Solve for x
    x = 2,185,714.85/2,217.12
  6. Step 6: Final answer
    x = 985.84

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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.