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Finding the Fourth Proportional to 2,530.13, 3,796.36 and 969.61

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Solution

The fourth proportional to 2,530.13, 3,796.36 and 969.61 is: 1,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.13 : 3,796.36 = 969.61 : x
  2. Step 2: Convert to fraction form
    2,530.13/3,796.36 = 969.61/x
  3. Step 3: Cross multiply
    2,530.13x = 3,796.36 × 969.61
  4. Step 4: Simplify right side
    2,530.13x = 3,680,969.64
  5. Step 5: Solve for x
    x = 3,680,969.64/2,530.13
  6. Step 6: Final answer
    x = 1,454.86

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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.