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Finding the Fourth Proportional to 2,098.59, 2,896.16 and 1,259.34

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Solution

The fourth proportional to 2,098.59, 2,896.16 and 1,259.34 is: 1,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.59 : 2,896.16 = 1,259.34 : x
  2. Step 2: Convert to fraction form
    2,098.59/2,896.16 = 1,259.34/x
  3. Step 3: Cross multiply
    2,098.59x = 2,896.16 × 1,259.34
  4. Step 4: Simplify right side
    2,098.59x = 3,647,243.84
  5. Step 5: Solve for x
    x = 3,647,243.84/2,098.59
  6. Step 6: Final answer
    x = 1,737.95

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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.