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Finding the Fourth Proportional to 2,162.41, 3,244.15 and 929.15

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Solution

The fourth proportional to 2,162.41, 3,244.15 and 929.15 is: 1,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.41 : 3,244.15 = 929.15 : x
  2. Step 2: Convert to fraction form
    2,162.41/3,244.15 = 929.15/x
  3. Step 3: Cross multiply
    2,162.41x = 3,244.15 × 929.15
  4. Step 4: Simplify right side
    2,162.41x = 3,014,317.33
  5. Step 5: Solve for x
    x = 3,014,317.33/2,162.41
  6. Step 6: Final answer
    x = 1,393.96

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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.