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Finding the Fourth Proportional to 2,299.98, 3,449.22 and 983.70

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Solution

The fourth proportional to 2,299.98, 3,449.22 and 983.70 is: 1,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.98 : 3,449.22 = 983.70 : x
  2. Step 2: Convert to fraction form
    2,299.98/3,449.22 = 983.70/x
  3. Step 3: Cross multiply
    2,299.98x = 3,449.22 × 983.70
  4. Step 4: Simplify right side
    2,299.98x = 3,392,980.47
  5. Step 5: Solve for x
    x = 3,392,980.47/2,299.98
  6. Step 6: Final answer
    x = 1,475.22

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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.