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Finding the Fourth Proportional to 2,099.99, 2,894.41 and 1,435.69

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Solution

The fourth proportional to 2,099.99, 2,894.41 and 1,435.69 is: 1,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.99 : 2,894.41 = 1,435.69 : x
  2. Step 2: Convert to fraction form
    2,099.99/2,894.41 = 1,435.69/x
  3. Step 3: Cross multiply
    2,099.99x = 2,894.41 × 1,435.69
  4. Step 4: Simplify right side
    2,099.99x = 4,155,464.67
  5. Step 5: Solve for x
    x = 4,155,464.67/2,099.99
  6. Step 6: Final answer
    x = 1,978.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.