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Finding the Fourth Proportional to 2,406.47, 3,315.77 and 1,619.15

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Solution

The fourth proportional to 2,406.47, 3,315.77 and 1,619.15 is: 2,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.47 : 3,315.77 = 1,619.15 : x
  2. Step 2: Convert to fraction form
    2,406.47/3,315.77 = 1,619.15/x
  3. Step 3: Cross multiply
    2,406.47x = 3,315.77 × 1,619.15
  4. Step 4: Simplify right side
    2,406.47x = 5,368,704.32
  5. Step 5: Solve for x
    x = 5,368,704.32/2,406.47
  6. Step 6: Final answer
    x = 2,230.95

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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.