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Finding the Fourth Proportional to 2,625.70, 3,622.99 and 1,681.65

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Solution

The fourth proportional to 2,625.70, 3,622.99 and 1,681.65 is: 2,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.70 : 3,622.99 = 1,681.65 : x
  2. Step 2: Convert to fraction form
    2,625.70/3,622.99 = 1,681.65/x
  3. Step 3: Cross multiply
    2,625.70x = 3,622.99 × 1,681.65
  4. Step 4: Simplify right side
    2,625.70x = 6,092,601.13
  5. Step 5: Solve for x
    x = 6,092,601.13/2,625.70
  6. Step 6: Final answer
    x = 2,320.37

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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.