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Finding the Fourth Proportional to 3,105.27, 4,656.96 and 1,460.16

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Solution

The fourth proportional to 3,105.27, 4,656.96 and 1,460.16 is: 2,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.27 : 4,656.96 = 1,460.16 : x
  2. Step 2: Convert to fraction form
    3,105.27/4,656.96 = 1,460.16/x
  3. Step 3: Cross multiply
    3,105.27x = 4,656.96 × 1,460.16
  4. Step 4: Simplify right side
    3,105.27x = 6,799,906.71
  5. Step 5: Solve for x
    x = 6,799,906.71/3,105.27
  6. Step 6: Final answer
    x = 2,189.80

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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.