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Finding the Fourth Proportional to 3,114.38, 4,670.78 and 922.61

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Solution

The fourth proportional to 3,114.38, 4,670.78 and 922.61 is: 1,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.38 : 4,670.78 = 922.61 : x
  2. Step 2: Convert to fraction form
    3,114.38/4,670.78 = 922.61/x
  3. Step 3: Cross multiply
    3,114.38x = 4,670.78 × 922.61
  4. Step 4: Simplify right side
    3,114.38x = 4,309,280.37
  5. Step 5: Solve for x
    x = 4,309,280.37/3,114.38
  6. Step 6: Final answer
    x = 1,383.67

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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.