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Finding the Fourth Proportional to 1,486.16, 2,229.24 and 609.14

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Solution

The fourth proportional to 1,486.16, 2,229.24 and 609.14 is: 913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.16 : 2,229.24 = 609.14 : x
  2. Step 2: Convert to fraction form
    1,486.16/2,229.24 = 609.14/x
  3. Step 3: Cross multiply
    1,486.16x = 2,229.24 × 609.14
  4. Step 4: Simplify right side
    1,486.16x = 1,357,908.11
  5. Step 5: Solve for x
    x = 1,357,908.11/1,486.16
  6. Step 6: Final answer
    x = 913.71

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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.