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Finding the Fourth Proportional to 2,640.36, 3,642.98 and 1,709.80

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Solution

The fourth proportional to 2,640.36, 3,642.98 and 1,709.80 is: 2,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.36 : 3,642.98 = 1,709.80 : x
  2. Step 2: Convert to fraction form
    2,640.36/3,642.98 = 1,709.80/x
  3. Step 3: Cross multiply
    2,640.36x = 3,642.98 × 1,709.80
  4. Step 4: Simplify right side
    2,640.36x = 6,228,767.20
  5. Step 5: Solve for x
    x = 6,228,767.20/2,640.36
  6. Step 6: Final answer
    x = 2,359.06

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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.