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Finding the Fourth Proportional to 3,297.92, 4,946.33 and 988.88

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Solution

The fourth proportional to 3,297.92, 4,946.33 and 988.88 is: 1,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.92 : 4,946.33 = 988.88 : x
  2. Step 2: Convert to fraction form
    3,297.92/4,946.33 = 988.88/x
  3. Step 3: Cross multiply
    3,297.92x = 4,946.33 × 988.88
  4. Step 4: Simplify right side
    3,297.92x = 4,891,304.55
  5. Step 5: Solve for x
    x = 4,891,304.55/3,297.92
  6. Step 6: Final answer
    x = 1,483.15

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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.