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Finding the Fourth Proportional to 2,296.74, 3,447.10 and 1,201.87

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Solution

The fourth proportional to 2,296.74, 3,447.10 and 1,201.87 is: 1,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.74 : 3,447.10 = 1,201.87 : x
  2. Step 2: Convert to fraction form
    2,296.74/3,447.10 = 1,201.87/x
  3. Step 3: Cross multiply
    2,296.74x = 3,447.10 × 1,201.87
  4. Step 4: Simplify right side
    2,296.74x = 4,142,966.08
  5. Step 5: Solve for x
    x = 4,142,966.08/2,296.74
  6. Step 6: Final answer
    x = 1,803.85

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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.