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Finding the Fourth Proportional to 2,494.82, 3,742.23 and 1,712.45

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Solution

The fourth proportional to 2,494.82, 3,742.23 and 1,712.45 is: 2,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.82 : 3,742.23 = 1,712.45 : x
  2. Step 2: Convert to fraction form
    2,494.82/3,742.23 = 1,712.45/x
  3. Step 3: Cross multiply
    2,494.82x = 3,742.23 × 1,712.45
  4. Step 4: Simplify right side
    2,494.82x = 6,408,394.03
  5. Step 5: Solve for x
    x = 6,408,394.03/2,494.82
  6. Step 6: Final answer
    x = 2,568.68

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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.