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Finding the Fourth Proportional to 2,216.10, 3,321.84 and 899.40

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Solution

The fourth proportional to 2,216.10, 3,321.84 and 899.40 is: 1,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.10 : 3,321.84 = 899.40 : x
  2. Step 2: Convert to fraction form
    2,216.10/3,321.84 = 899.40/x
  3. Step 3: Cross multiply
    2,216.10x = 3,321.84 × 899.40
  4. Step 4: Simplify right side
    2,216.10x = 2,987,662.90
  5. Step 5: Solve for x
    x = 2,987,662.90/2,216.10
  6. Step 6: Final answer
    x = 1,348.16

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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.