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Finding the Fourth Proportional to 3,296.91, 4,945.44 and 1,188.45

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Solution

The fourth proportional to 3,296.91, 4,945.44 and 1,188.45 is: 1,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.91 : 4,945.44 = 1,188.45 : x
  2. Step 2: Convert to fraction form
    3,296.91/4,945.44 = 1,188.45/x
  3. Step 3: Cross multiply
    3,296.91x = 4,945.44 × 1,188.45
  4. Step 4: Simplify right side
    3,296.91x = 5,877,408.17
  5. Step 5: Solve for x
    x = 5,877,408.17/3,296.91
  6. Step 6: Final answer
    x = 1,782.70

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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.