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Finding the Fourth Proportional to 3,219.90, 4,830.29 and 998.91

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Solution

The fourth proportional to 3,219.90, 4,830.29 and 998.91 is: 1,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.90 : 4,830.29 = 998.91 : x
  2. Step 2: Convert to fraction form
    3,219.90/4,830.29 = 998.91/x
  3. Step 3: Cross multiply
    3,219.90x = 4,830.29 × 998.91
  4. Step 4: Simplify right side
    3,219.90x = 4,825,024.98
  5. Step 5: Solve for x
    x = 4,825,024.98/3,219.90
  6. Step 6: Final answer
    x = 1,498.50

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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.