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Finding the Fourth Proportional to 1,487.16, 2,226.08 and 1,022.22

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Solution

The fourth proportional to 1,487.16, 2,226.08 and 1,022.22 is: 1,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.16 : 2,226.08 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    1,487.16/2,226.08 = 1,022.22/x
  3. Step 3: Cross multiply
    1,487.16x = 2,226.08 × 1,022.22
  4. Step 4: Simplify right side
    1,487.16x = 2,275,546.05
  5. Step 5: Solve for x
    x = 2,275,546.05/1,487.16
  6. Step 6: Final answer
    x = 1,530.13

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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.