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Finding the Fourth Proportional to 1,486.14, 2,229.18 and 390.48

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Solution

The fourth proportional to 1,486.14, 2,229.18 and 390.48 is: 585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.14 : 2,229.18 = 390.48 : x
  2. Step 2: Convert to fraction form
    1,486.14/2,229.18 = 390.48/x
  3. Step 3: Cross multiply
    1,486.14x = 2,229.18 × 390.48
  4. Step 4: Simplify right side
    1,486.14x = 870,450.21
  5. Step 5: Solve for x
    x = 870,450.21/1,486.14
  6. Step 6: Final answer
    x = 585.71

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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.