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Finding the Fourth Proportional to 3,118.72, 4,677.27 and 926.86

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Solution

The fourth proportional to 3,118.72, 4,677.27 and 926.86 is: 1,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.72 : 4,677.27 = 926.86 : x
  2. Step 2: Convert to fraction form
    3,118.72/4,677.27 = 926.86/x
  3. Step 3: Cross multiply
    3,118.72x = 4,677.27 × 926.86
  4. Step 4: Simplify right side
    3,118.72x = 4,335,174.47
  5. Step 5: Solve for x
    x = 4,335,174.47/3,118.72
  6. Step 6: Final answer
    x = 1,390.05

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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.