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Finding the Fourth Proportional to 2,478.12, 3,719.16 and 1,309.44

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Solution

The fourth proportional to 2,478.12, 3,719.16 and 1,309.44 is: 1,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.12 : 3,719.16 = 1,309.44 : x
  2. Step 2: Convert to fraction form
    2,478.12/3,719.16 = 1,309.44/x
  3. Step 3: Cross multiply
    2,478.12x = 3,719.16 × 1,309.44
  4. Step 4: Simplify right side
    2,478.12x = 4,870,016.87
  5. Step 5: Solve for x
    x = 4,870,016.87/2,478.12
  6. Step 6: Final answer
    x = 1,965.21

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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.