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Finding the Fourth Proportional to 2,640.25, 3,635.41 and 2,345.00

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Solution

The fourth proportional to 2,640.25, 3,635.41 and 2,345.00 is: 3,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.25 : 3,635.41 = 2,345.00 : x
  2. Step 2: Convert to fraction form
    2,640.25/3,635.41 = 2,345.00/x
  3. Step 3: Cross multiply
    2,640.25x = 3,635.41 × 2,345.00
  4. Step 4: Simplify right side
    2,640.25x = 8,525,030.66
  5. Step 5: Solve for x
    x = 8,525,030.66/2,640.25
  6. Step 6: Final answer
    x = 3,228.88

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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.