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Finding the Fourth Proportional to 2,745.72, 4,094.82 and 2,690.82

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Solution

The fourth proportional to 2,745.72, 4,094.82 and 2,690.82 is: 4,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.72 : 4,094.82 = 2,690.82 : x
  2. Step 2: Convert to fraction form
    2,745.72/4,094.82 = 2,690.82/x
  3. Step 3: Cross multiply
    2,745.72x = 4,094.82 × 2,690.82
  4. Step 4: Simplify right side
    2,745.72x = 11,018,423.55
  5. Step 5: Solve for x
    x = 11,018,423.55/2,745.72
  6. Step 6: Final answer
    x = 4,012.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.