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Finding the Fourth Proportional to 2,063.57, 3,093.75 and 1,403.72

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Solution

The fourth proportional to 2,063.57, 3,093.75 and 1,403.72 is: 2,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.57 : 3,093.75 = 1,403.72 : x
  2. Step 2: Convert to fraction form
    2,063.57/3,093.75 = 1,403.72/x
  3. Step 3: Cross multiply
    2,063.57x = 3,093.75 × 1,403.72
  4. Step 4: Simplify right side
    2,063.57x = 4,342,758.75
  5. Step 5: Solve for x
    x = 4,342,758.75/2,063.57
  6. Step 6: Final answer
    x = 2,104.49

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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.