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Finding the Fourth Proportional to 3,114.18, 4,670.91 and 805.86

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Solution

The fourth proportional to 3,114.18, 4,670.91 and 805.86 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.18 : 4,670.91 = 805.86 : x
  2. Step 2: Convert to fraction form
    3,114.18/4,670.91 = 805.86/x
  3. Step 3: Cross multiply
    3,114.18x = 4,670.91 × 805.86
  4. Step 4: Simplify right side
    3,114.18x = 3,764,099.53
  5. Step 5: Solve for x
    x = 3,764,099.53/3,114.18
  6. Step 6: Final answer
    x = 1,208.70

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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.