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Finding the Fourth Proportional to 2,099.77, 3,150.20 and 1,809.93

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Solution

The fourth proportional to 2,099.77, 3,150.20 and 1,809.93 is: 2,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.77 : 3,150.20 = 1,809.93 : x
  2. Step 2: Convert to fraction form
    2,099.77/3,150.20 = 1,809.93/x
  3. Step 3: Cross multiply
    2,099.77x = 3,150.20 × 1,809.93
  4. Step 4: Simplify right side
    2,099.77x = 5,701,641.49
  5. Step 5: Solve for x
    x = 5,701,641.49/2,099.77
  6. Step 6: Final answer
    x = 2,715.36

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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.