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Finding the Fourth Proportional to 1,458.92, 2,187.74 and 418.69

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Solution

The fourth proportional to 1,458.92, 2,187.74 and 418.69 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.92 : 2,187.74 = 418.69 : x
  2. Step 2: Convert to fraction form
    1,458.92/2,187.74 = 418.69/x
  3. Step 3: Cross multiply
    1,458.92x = 2,187.74 × 418.69
  4. Step 4: Simplify right side
    1,458.92x = 915,984.86
  5. Step 5: Solve for x
    x = 915,984.86/1,458.92
  6. Step 6: Final answer
    x = 627.85

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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.