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Finding the Fourth Proportional to 2,474.69, 3,712.06 and 914.68

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Solution

The fourth proportional to 2,474.69, 3,712.06 and 914.68 is: 1,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.69 : 3,712.06 = 914.68 : x
  2. Step 2: Convert to fraction form
    2,474.69/3,712.06 = 914.68/x
  3. Step 3: Cross multiply
    2,474.69x = 3,712.06 × 914.68
  4. Step 4: Simplify right side
    2,474.69x = 3,395,347.04
  5. Step 5: Solve for x
    x = 3,395,347.04/2,474.69
  6. Step 6: Final answer
    x = 1,372.03

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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.