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Finding the Fourth Proportional to 2,462.34, 3,693.27 and 923.46

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Solution

The fourth proportional to 2,462.34, 3,693.27 and 923.46 is: 1,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.34 : 3,693.27 = 923.46 : x
  2. Step 2: Convert to fraction form
    2,462.34/3,693.27 = 923.46/x
  3. Step 3: Cross multiply
    2,462.34x = 3,693.27 × 923.46
  4. Step 4: Simplify right side
    2,462.34x = 3,410,587.11
  5. Step 5: Solve for x
    x = 3,410,587.11/2,462.34
  6. Step 6: Final answer
    x = 1,385.10

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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.