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Finding the Fourth Proportional to 2,098.83, 2,895.52 and 1,259.55

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Solution

The fourth proportional to 2,098.83, 2,895.52 and 1,259.55 is: 1,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.83 : 2,895.52 = 1,259.55 : x
  2. Step 2: Convert to fraction form
    2,098.83/2,895.52 = 1,259.55/x
  3. Step 3: Cross multiply
    2,098.83x = 2,895.52 × 1,259.55
  4. Step 4: Simplify right side
    2,098.83x = 3,647,052.22
  5. Step 5: Solve for x
    x = 3,647,052.22/2,098.83
  6. Step 6: Final answer
    x = 1,737.66

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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.