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Finding the Fourth Proportional to 4,678.92, 7,019.34 and 1,601.16

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Solution

The fourth proportional to 4,678.92, 7,019.34 and 1,601.16 is: 2,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.92 : 7,019.34 = 1,601.16 : x
  2. Step 2: Convert to fraction form
    4,678.92/7,019.34 = 1,601.16/x
  3. Step 3: Cross multiply
    4,678.92x = 7,019.34 × 1,601.16
  4. Step 4: Simplify right side
    4,678.92x = 11,239,086.43
  5. Step 5: Solve for x
    x = 11,239,086.43/4,678.92
  6. Step 6: Final answer
    x = 2,402.07

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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.