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Finding the Fourth Proportional to 2,296.98, 3,444.44 and 815.98

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Solution

The fourth proportional to 2,296.98, 3,444.44 and 815.98 is: 1,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.98 : 3,444.44 = 815.98 : x
  2. Step 2: Convert to fraction form
    2,296.98/3,444.44 = 815.98/x
  3. Step 3: Cross multiply
    2,296.98x = 3,444.44 × 815.98
  4. Step 4: Simplify right side
    2,296.98x = 2,810,594.15
  5. Step 5: Solve for x
    x = 2,810,594.15/2,296.98
  6. Step 6: Final answer
    x = 1,223.60

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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.