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Finding the Fourth Proportional to 2,758.78, 4,138.18 and 1,603.90

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Solution

The fourth proportional to 2,758.78, 4,138.18 and 1,603.90 is: 2,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.78 : 4,138.18 = 1,603.90 : x
  2. Step 2: Convert to fraction form
    2,758.78/4,138.18 = 1,603.90/x
  3. Step 3: Cross multiply
    2,758.78x = 4,138.18 × 1,603.90
  4. Step 4: Simplify right side
    2,758.78x = 6,637,226.90
  5. Step 5: Solve for x
    x = 6,637,226.90/2,758.78
  6. Step 6: Final answer
    x = 2,405.86

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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.