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Finding the Fourth Proportional to 2,291.29, 3,437.34 and 730.82

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Solution

The fourth proportional to 2,291.29, 3,437.34 and 730.82 is: 1,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.29 : 3,437.34 = 730.82 : x
  2. Step 2: Convert to fraction form
    2,291.29/3,437.34 = 730.82/x
  3. Step 3: Cross multiply
    2,291.29x = 3,437.34 × 730.82
  4. Step 4: Simplify right side
    2,291.29x = 2,512,082.67
  5. Step 5: Solve for x
    x = 2,512,082.67/2,291.29
  6. Step 6: Final answer
    x = 1,096.36

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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.