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Finding the Fourth Proportional to 2,707.24, 4,054.02 and 2,267.41

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Solution

The fourth proportional to 2,707.24, 4,054.02 and 2,267.41 is: 3,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.24 : 4,054.02 = 2,267.41 : x
  2. Step 2: Convert to fraction form
    2,707.24/4,054.02 = 2,267.41/x
  3. Step 3: Cross multiply
    2,707.24x = 4,054.02 × 2,267.41
  4. Step 4: Simplify right side
    2,707.24x = 9,192,125.49
  5. Step 5: Solve for x
    x = 9,192,125.49/2,707.24
  6. Step 6: Final answer
    x = 3,395.39

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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.