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Finding the Fourth Proportional to 2,758.93, 4,138.52 and 910.21

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Solution

The fourth proportional to 2,758.93, 4,138.52 and 910.21 is: 1,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.93 : 4,138.52 = 910.21 : x
  2. Step 2: Convert to fraction form
    2,758.93/4,138.52 = 910.21/x
  3. Step 3: Cross multiply
    2,758.93x = 4,138.52 × 910.21
  4. Step 4: Simplify right side
    2,758.93x = 3,766,915.93
  5. Step 5: Solve for x
    x = 3,766,915.93/2,758.93
  6. Step 6: Final answer
    x = 1,365.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.