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Finding the Fourth Proportional to 2,299.02, 3,448.98 and 837.98

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Solution

The fourth proportional to 2,299.02, 3,448.98 and 837.98 is: 1,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.02 : 3,448.98 = 837.98 : x
  2. Step 2: Convert to fraction form
    2,299.02/3,448.98 = 837.98/x
  3. Step 3: Cross multiply
    2,299.02x = 3,448.98 × 837.98
  4. Step 4: Simplify right side
    2,299.02x = 2,890,171.95
  5. Step 5: Solve for x
    x = 2,890,171.95/2,299.02
  6. Step 6: Final answer
    x = 1,257.13

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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.