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Finding the Fourth Proportional to 2,265.76, 3,398.66 and 726.76

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Solution

The fourth proportional to 2,265.76, 3,398.66 and 726.76 is: 1,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.76 : 3,398.66 = 726.76 : x
  2. Step 2: Convert to fraction form
    2,265.76/3,398.66 = 726.76/x
  3. Step 3: Cross multiply
    2,265.76x = 3,398.66 × 726.76
  4. Step 4: Simplify right side
    2,265.76x = 2,470,010.14
  5. Step 5: Solve for x
    x = 2,470,010.14/2,265.76
  6. Step 6: Final answer
    x = 1,090.15

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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.