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Finding the Fourth Proportional to 2,910.71, 4,365.99 and 719.44

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Solution

The fourth proportional to 2,910.71, 4,365.99 and 719.44 is: 1,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.71 : 4,365.99 = 719.44 : x
  2. Step 2: Convert to fraction form
    2,910.71/4,365.99 = 719.44/x
  3. Step 3: Cross multiply
    2,910.71x = 4,365.99 × 719.44
  4. Step 4: Simplify right side
    2,910.71x = 3,141,046.02
  5. Step 5: Solve for x
    x = 3,141,046.02/2,910.71
  6. Step 6: Final answer
    x = 1,079.13

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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.