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Finding the Fourth Proportional to 2,298.56, 3,446.13 and 1,145.12

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Solution

The fourth proportional to 2,298.56, 3,446.13 and 1,145.12 is: 1,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.56 : 3,446.13 = 1,145.12 : x
  2. Step 2: Convert to fraction form
    2,298.56/3,446.13 = 1,145.12/x
  3. Step 3: Cross multiply
    2,298.56x = 3,446.13 × 1,145.12
  4. Step 4: Simplify right side
    2,298.56x = 3,946,232.39
  5. Step 5: Solve for x
    x = 3,946,232.39/2,298.56
  6. Step 6: Final answer
    x = 1,716.83

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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.