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Finding the Fourth Proportional to 2,666.94, 4,004.91 and 2,227.74

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Solution

The fourth proportional to 2,666.94, 4,004.91 and 2,227.74 is: 3,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 4,004.91 = 2,227.74 : x
  2. Step 2: Convert to fraction form
    2,666.94/4,004.91 = 2,227.74/x
  3. Step 3: Cross multiply
    2,666.94x = 4,004.91 × 2,227.74
  4. Step 4: Simplify right side
    2,666.94x = 8,921,898.20
  5. Step 5: Solve for x
    x = 8,921,898.20/2,666.94
  6. Step 6: Final answer
    x = 3,345.37

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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.