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Finding the Fourth Proportional to 2,509.97, 3,463.66 and 1,390.92

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Solution

The fourth proportional to 2,509.97, 3,463.66 and 1,390.92 is: 1,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.97 : 3,463.66 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    2,509.97/3,463.66 = 1,390.92/x
  3. Step 3: Cross multiply
    2,509.97x = 3,463.66 × 1,390.92
  4. Step 4: Simplify right side
    2,509.97x = 4,817,687.68
  5. Step 5: Solve for x
    x = 4,817,687.68/2,509.97
  6. Step 6: Final answer
    x = 1,919.42

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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.