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Finding the Fourth Proportional to 2,098.83, 2,896.53 and 1,167.33

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Solution

The fourth proportional to 2,098.83, 2,896.53 and 1,167.33 is: 1,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.83 : 2,896.53 = 1,167.33 : x
  2. Step 2: Convert to fraction form
    2,098.83/2,896.53 = 1,167.33/x
  3. Step 3: Cross multiply
    2,098.83x = 2,896.53 × 1,167.33
  4. Step 4: Simplify right side
    2,098.83x = 3,381,206.36
  5. Step 5: Solve for x
    x = 3,381,206.36/2,098.83
  6. Step 6: Final answer
    x = 1,611.00

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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.