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Finding the Fourth Proportional to 1,486.11, 2,229 and 390.57

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Solution

The fourth proportional to 1,486.11, 2,229 and 390.57 is: 585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.11 : 2,229 = 390.57 : x
  2. Step 2: Convert to fraction form
    1,486.11/2,229 = 390.57/x
  3. Step 3: Cross multiply
    1,486.11x = 2,229 × 390.57
  4. Step 4: Simplify right side
    1,486.11x = 870,580.53
  5. Step 5: Solve for x
    x = 870,580.53/1,486.11
  6. Step 6: Final answer
    x = 585.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.