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Finding the Fourth Proportional to 2,906.40, 4,357.15 and 1,261.71

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Solution

The fourth proportional to 2,906.40, 4,357.15 and 1,261.71 is: 1,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.40 : 4,357.15 = 1,261.71 : x
  2. Step 2: Convert to fraction form
    2,906.40/4,357.15 = 1,261.71/x
  3. Step 3: Cross multiply
    2,906.40x = 4,357.15 × 1,261.71
  4. Step 4: Simplify right side
    2,906.40x = 5,497,459.73
  5. Step 5: Solve for x
    x = 5,497,459.73/2,906.40
  6. Step 6: Final answer
    x = 1,891.50

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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.