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Finding the Fourth Proportional to 3,297.73, 4,946.59 and 832.74

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Solution

The fourth proportional to 3,297.73, 4,946.59 and 832.74 is: 1,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.73 : 4,946.59 = 832.74 : x
  2. Step 2: Convert to fraction form
    3,297.73/4,946.59 = 832.74/x
  3. Step 3: Cross multiply
    3,297.73x = 4,946.59 × 832.74
  4. Step 4: Simplify right side
    3,297.73x = 4,119,223.36
  5. Step 5: Solve for x
    x = 4,119,223.36/3,297.73
  6. Step 6: Final answer
    x = 1,249.11

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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.