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Finding the Fourth Proportional to 2,198.46, 3,297.70 and 555

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Solution

The fourth proportional to 2,198.46, 3,297.70 and 555 is: 832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.46 : 3,297.70 = 555 : x
  2. Step 2: Convert to fraction form
    2,198.46/3,297.70 = 555/x
  3. Step 3: Cross multiply
    2,198.46x = 3,297.70 × 555
  4. Step 4: Simplify right side
    2,198.46x = 1,830,223.50
  5. Step 5: Solve for x
    x = 1,830,223.50/2,198.46
  6. Step 6: Final answer
    x = 832.50

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Double scale
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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.