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Finding the Fourth Proportional to 2,296.52, 3,444.37 and 909.39

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Solution

The fourth proportional to 2,296.52, 3,444.37 and 909.39 is: 1,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.52 : 3,444.37 = 909.39 : x
  2. Step 2: Convert to fraction form
    2,296.52/3,444.37 = 909.39/x
  3. Step 3: Cross multiply
    2,296.52x = 3,444.37 × 909.39
  4. Step 4: Simplify right side
    2,296.52x = 3,132,273.36
  5. Step 5: Solve for x
    x = 3,132,273.36/2,296.52
  6. Step 6: Final answer
    x = 1,363.92

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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.