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Finding the Fourth Proportional to 2,346.65, 3,234.92 and 1,786.14

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Solution

The fourth proportional to 2,346.65, 3,234.92 and 1,786.14 is: 2,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.65 : 3,234.92 = 1,786.14 : x
  2. Step 2: Convert to fraction form
    2,346.65/3,234.92 = 1,786.14/x
  3. Step 3: Cross multiply
    2,346.65x = 3,234.92 × 1,786.14
  4. Step 4: Simplify right side
    2,346.65x = 5,778,016.58
  5. Step 5: Solve for x
    x = 5,778,016.58/2,346.65
  6. Step 6: Final answer
    x = 2,462.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.