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Finding the Fourth Proportional to 2,694.39, 3,714.03 and 2,468.40

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Solution

The fourth proportional to 2,694.39, 3,714.03 and 2,468.40 is: 3,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.39 : 3,714.03 = 2,468.40 : x
  2. Step 2: Convert to fraction form
    2,694.39/3,714.03 = 2,468.40/x
  3. Step 3: Cross multiply
    2,694.39x = 3,714.03 × 2,468.40
  4. Step 4: Simplify right side
    2,694.39x = 9,167,711.65
  5. Step 5: Solve for x
    x = 9,167,711.65/2,694.39
  6. Step 6: Final answer
    x = 3,402.52

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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.