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Finding the Fourth Proportional to 2,700.24, 3,726.48 and 2,035.92

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Solution

The fourth proportional to 2,700.24, 3,726.48 and 2,035.92 is: 2,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.24 : 3,726.48 = 2,035.92 : x
  2. Step 2: Convert to fraction form
    2,700.24/3,726.48 = 2,035.92/x
  3. Step 3: Cross multiply
    2,700.24x = 3,726.48 × 2,035.92
  4. Step 4: Simplify right side
    2,700.24x = 7,586,815.16
  5. Step 5: Solve for x
    x = 7,586,815.16/2,700.24
  6. Step 6: Final answer
    x = 2,809.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.