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Finding the Fourth Proportional to 3,411.68, 4,708.05 and 1,919.57

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Solution

The fourth proportional to 3,411.68, 4,708.05 and 1,919.57 is: 2,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.68 : 4,708.05 = 1,919.57 : x
  2. Step 2: Convert to fraction form
    3,411.68/4,708.05 = 1,919.57/x
  3. Step 3: Cross multiply
    3,411.68x = 4,708.05 × 1,919.57
  4. Step 4: Simplify right side
    3,411.68x = 9,037,408.00
  5. Step 5: Solve for x
    x = 9,037,408.00/3,411.68
  6. Step 6: Final answer
    x = 2,648.97

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Why These Related Problems?

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