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Finding the Fourth Proportional to 2,716.41, 3,746.17 and 2,297.64

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Solution

The fourth proportional to 2,716.41, 3,746.17 and 2,297.64 is: 3,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.41 : 3,746.17 = 2,297.64 : x
  2. Step 2: Convert to fraction form
    2,716.41/3,746.17 = 2,297.64/x
  3. Step 3: Cross multiply
    2,716.41x = 3,746.17 × 2,297.64
  4. Step 4: Simplify right side
    2,716.41x = 8,607,350.04
  5. Step 5: Solve for x
    x = 8,607,350.04/2,716.41
  6. Step 6: Final answer
    x = 3,168.65

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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.