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Finding the Fourth Proportional to 2,509.38, 3,765.06 and 1,816.92

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Solution

The fourth proportional to 2,509.38, 3,765.06 and 1,816.92 is: 2,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.38 : 3,765.06 = 1,816.92 : x
  2. Step 2: Convert to fraction form
    2,509.38/3,765.06 = 1,816.92/x
  3. Step 3: Cross multiply
    2,509.38x = 3,765.06 × 1,816.92
  4. Step 4: Simplify right side
    2,509.38x = 6,840,812.82
  5. Step 5: Solve for x
    x = 6,840,812.82/2,509.38
  6. Step 6: Final answer
    x = 2,726.10

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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.