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Finding the Fourth Proportional to 2,296.55, 3,444.84 and 910.22

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Solution

The fourth proportional to 2,296.55, 3,444.84 and 910.22 is: 1,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.55 : 3,444.84 = 910.22 : x
  2. Step 2: Convert to fraction form
    2,296.55/3,444.84 = 910.22/x
  3. Step 3: Cross multiply
    2,296.55x = 3,444.84 × 910.22
  4. Step 4: Simplify right side
    2,296.55x = 3,135,545.04
  5. Step 5: Solve for x
    x = 3,135,545.04/2,296.55
  6. Step 6: Final answer
    x = 1,365.33

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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.