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Finding the Fourth Proportional to 3,411.98, 4,708.66 and 1,919.88

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Solution

The fourth proportional to 3,411.98, 4,708.66 and 1,919.88 is: 2,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.98 : 4,708.66 = 1,919.88 : x
  2. Step 2: Convert to fraction form
    3,411.98/4,708.66 = 1,919.88/x
  3. Step 3: Cross multiply
    3,411.98x = 4,708.66 × 1,919.88
  4. Step 4: Simplify right side
    3,411.98x = 9,040,062.16
  5. Step 5: Solve for x
    x = 9,040,062.16/3,411.98
  6. Step 6: Final answer
    x = 2,649.51

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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.