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Finding the Fourth Proportional to 2,099.91, 3,145.53 and 1,232.13

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Solution

The fourth proportional to 2,099.91, 3,145.53 and 1,232.13 is: 1,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.91 : 3,145.53 = 1,232.13 : x
  2. Step 2: Convert to fraction form
    2,099.91/3,145.53 = 1,232.13/x
  3. Step 3: Cross multiply
    2,099.91x = 3,145.53 × 1,232.13
  4. Step 4: Simplify right side
    2,099.91x = 3,875,701.88
  5. Step 5: Solve for x
    x = 3,875,701.88/2,099.91
  6. Step 6: Final answer
    x = 1,845.65

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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.