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Finding the Fourth Proportional to 2,690.70, 3,695.66 and 2,625.90

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Solution

The fourth proportional to 2,690.70, 3,695.66 and 2,625.90 is: 3,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.70 : 3,695.66 = 2,625.90 : x
  2. Step 2: Convert to fraction form
    2,690.70/3,695.66 = 2,625.90/x
  3. Step 3: Cross multiply
    2,690.70x = 3,695.66 × 2,625.90
  4. Step 4: Simplify right side
    2,690.70x = 9,704,420.46
  5. Step 5: Solve for x
    x = 9,704,420.46/2,690.70
  6. Step 6: Final answer
    x = 3,606.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.