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Finding the Fourth Proportional to 2,866.20, 4,293.99 and 2,406.93

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Solution

The fourth proportional to 2,866.20, 4,293.99 and 2,406.93 is: 3,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.20 : 4,293.99 = 2,406.93 : x
  2. Step 2: Convert to fraction form
    2,866.20/4,293.99 = 2,406.93/x
  3. Step 3: Cross multiply
    2,866.20x = 4,293.99 × 2,406.93
  4. Step 4: Simplify right side
    2,866.20x = 10,335,333.35
  5. Step 5: Solve for x
    x = 10,335,333.35/2,866.20
  6. Step 6: Final answer
    x = 3,605.94

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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.