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Finding the Fourth Proportional to 2,098.11, 2,894.90 and 1,258.55

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Solution

The fourth proportional to 2,098.11, 2,894.90 and 1,258.55 is: 1,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.11 : 2,894.90 = 1,258.55 : x
  2. Step 2: Convert to fraction form
    2,098.11/2,894.90 = 1,258.55/x
  3. Step 3: Cross multiply
    2,098.11x = 2,894.90 × 1,258.55
  4. Step 4: Simplify right side
    2,098.11x = 3,643,361.92
  5. Step 5: Solve for x
    x = 3,643,361.92/2,098.11
  6. Step 6: Final answer
    x = 1,736.50

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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.