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Finding the Fourth Proportional to 2,296.62, 3,444.93 and 565.23

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Solution

The fourth proportional to 2,296.62, 3,444.93 and 565.23 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.62 : 3,444.93 = 565.23 : x
  2. Step 2: Convert to fraction form
    2,296.62/3,444.93 = 565.23/x
  3. Step 3: Cross multiply
    2,296.62x = 3,444.93 × 565.23
  4. Step 4: Simplify right side
    2,296.62x = 1,947,177.78
  5. Step 5: Solve for x
    x = 1,947,177.78/2,296.62
  6. Step 6: Final answer
    x = 847.85

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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.