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Finding the Fourth Proportional to 2,099.42, 3,145.02 and 1,610.08

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Solution

The fourth proportional to 2,099.42, 3,145.02 and 1,610.08 is: 2,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.42 : 3,145.02 = 1,610.08 : x
  2. Step 2: Convert to fraction form
    2,099.42/3,145.02 = 1,610.08/x
  3. Step 3: Cross multiply
    2,099.42x = 3,145.02 × 1,610.08
  4. Step 4: Simplify right side
    2,099.42x = 5,063,733.80
  5. Step 5: Solve for x
    x = 5,063,733.80/2,099.42
  6. Step 6: Final answer
    x = 2,411.97

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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.