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Finding the Fourth Proportional to 2,099.94, 2,896.29 and 1,354.02

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Solution

The fourth proportional to 2,099.94, 2,896.29 and 1,354.02 is: 1,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.94 : 2,896.29 = 1,354.02 : x
  2. Step 2: Convert to fraction form
    2,099.94/2,896.29 = 1,354.02/x
  3. Step 3: Cross multiply
    2,099.94x = 2,896.29 × 1,354.02
  4. Step 4: Simplify right side
    2,099.94x = 3,921,634.59
  5. Step 5: Solve for x
    x = 3,921,634.59/2,099.94
  6. Step 6: Final answer
    x = 1,867.50

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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.