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Finding the Fourth Proportional to 2,694.93, 3,717.57 and 1,699.86

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Solution

The fourth proportional to 2,694.93, 3,717.57 and 1,699.86 is: 2,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.93 : 3,717.57 = 1,699.86 : x
  2. Step 2: Convert to fraction form
    2,694.93/3,717.57 = 1,699.86/x
  3. Step 3: Cross multiply
    2,694.93x = 3,717.57 × 1,699.86
  4. Step 4: Simplify right side
    2,694.93x = 6,319,348.54
  5. Step 5: Solve for x
    x = 6,319,348.54/2,694.93
  6. Step 6: Final answer
    x = 2,344.90

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1.5x scale

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.