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Finding the Fourth Proportional to 2,297.64, 3,445.74 and 998.76

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Solution

The fourth proportional to 2,297.64, 3,445.74 and 998.76 is: 1,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.64 : 3,445.74 = 998.76 : x
  2. Step 2: Convert to fraction form
    2,297.64/3,445.74 = 998.76/x
  3. Step 3: Cross multiply
    2,297.64x = 3,445.74 × 998.76
  4. Step 4: Simplify right side
    2,297.64x = 3,441,467.28
  5. Step 5: Solve for x
    x = 3,441,467.28/2,297.64
  6. Step 6: Final answer
    x = 1,497.83

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1.5x scale

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.