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Finding the Fourth Proportional to 2,297.68, 3,168.84 and 1,551.44

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Solution

The fourth proportional to 2,297.68, 3,168.84 and 1,551.44 is: 2,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.68 : 3,168.84 = 1,551.44 : x
  2. Step 2: Convert to fraction form
    2,297.68/3,168.84 = 1,551.44/x
  3. Step 3: Cross multiply
    2,297.68x = 3,168.84 × 1,551.44
  4. Step 4: Simplify right side
    2,297.68x = 4,916,265.13
  5. Step 5: Solve for x
    x = 4,916,265.13/2,297.68
  6. Step 6: Final answer
    x = 2,139.66

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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.