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Finding the Fourth Proportional to 2,896.92, 4,346.58 and 2,019.66

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Solution

The fourth proportional to 2,896.92, 4,346.58 and 2,019.66 is: 3,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.92 : 4,346.58 = 2,019.66 : x
  2. Step 2: Convert to fraction form
    2,896.92/4,346.58 = 2,019.66/x
  3. Step 3: Cross multiply
    2,896.92x = 4,346.58 × 2,019.66
  4. Step 4: Simplify right side
    2,896.92x = 8,778,613.76
  5. Step 5: Solve for x
    x = 8,778,613.76/2,896.92
  6. Step 6: Final answer
    x = 3,030.33

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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.