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Finding the Fourth Proportional to 2,099.86, 3,146.68 and 1,404.14

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Solution

The fourth proportional to 2,099.86, 3,146.68 and 1,404.14 is: 2,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.86 : 3,146.68 = 1,404.14 : x
  2. Step 2: Convert to fraction form
    2,099.86/3,146.68 = 1,404.14/x
  3. Step 3: Cross multiply
    2,099.86x = 3,146.68 × 1,404.14
  4. Step 4: Simplify right side
    2,099.86x = 4,418,379.26
  5. Step 5: Solve for x
    x = 4,418,379.26/2,099.86
  6. Step 6: Final answer
    x = 2,104.13

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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.