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Finding the Fourth Proportional to 2,309.96, 3,442.30 and 2,246.60

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Solution

The fourth proportional to 2,309.96, 3,442.30 and 2,246.60 is: 3,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.96 : 3,442.30 = 2,246.60 : x
  2. Step 2: Convert to fraction form
    2,309.96/3,442.30 = 2,246.60/x
  3. Step 3: Cross multiply
    2,309.96x = 3,442.30 × 2,246.60
  4. Step 4: Simplify right side
    2,309.96x = 7,733,471.18
  5. Step 5: Solve for x
    x = 7,733,471.18/2,309.96
  6. Step 6: Final answer
    x = 3,347.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.