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Finding the Fourth Proportional to 3,118.82, 4,678.59 and 927.86

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Solution

The fourth proportional to 3,118.82, 4,678.59 and 927.86 is: 1,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.82 : 4,678.59 = 927.86 : x
  2. Step 2: Convert to fraction form
    3,118.82/4,678.59 = 927.86/x
  3. Step 3: Cross multiply
    3,118.82x = 4,678.59 × 927.86
  4. Step 4: Simplify right side
    3,118.82x = 4,341,076.52
  5. Step 5: Solve for x
    x = 4,341,076.52/3,118.82
  6. Step 6: Final answer
    x = 1,391.90

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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.