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Finding the Fourth Proportional to 2,462.58, 3,691.71 and 923.22

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Solution

The fourth proportional to 2,462.58, 3,691.71 and 923.22 is: 1,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.58 : 3,691.71 = 923.22 : x
  2. Step 2: Convert to fraction form
    2,462.58/3,691.71 = 923.22/x
  3. Step 3: Cross multiply
    2,462.58x = 3,691.71 × 923.22
  4. Step 4: Simplify right side
    2,462.58x = 3,408,260.51
  5. Step 5: Solve for x
    x = 3,408,260.51/2,462.58
  6. Step 6: Final answer
    x = 1,384.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.