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Finding the Fourth Proportional to 3,491.93, 5,233.43 and 1,638.95

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Solution

The fourth proportional to 3,491.93, 5,233.43 and 1,638.95 is: 2,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.93 : 5,233.43 = 1,638.95 : x
  2. Step 2: Convert to fraction form
    3,491.93/5,233.43 = 1,638.95/x
  3. Step 3: Cross multiply
    3,491.93x = 5,233.43 × 1,638.95
  4. Step 4: Simplify right side
    3,491.93x = 8,577,330.10
  5. Step 5: Solve for x
    x = 8,577,330.10/3,491.93
  6. Step 6: Final answer
    x = 2,456.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.