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Finding the Fourth Proportional to 2,216.02, 3,322.17 and 918.40

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Solution

The fourth proportional to 2,216.02, 3,322.17 and 918.40 is: 1,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.02 : 3,322.17 = 918.40 : x
  2. Step 2: Convert to fraction form
    2,216.02/3,322.17 = 918.40/x
  3. Step 3: Cross multiply
    2,216.02x = 3,322.17 × 918.40
  4. Step 4: Simplify right side
    2,216.02x = 3,051,080.93
  5. Step 5: Solve for x
    x = 3,051,080.93/2,216.02
  6. Step 6: Final answer
    x = 1,376.83

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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.