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Finding the Fourth Proportional to 2,415.49, 3,625.67 and 1,764.25

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Solution

The fourth proportional to 2,415.49, 3,625.67 and 1,764.25 is: 2,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.49 : 3,625.67 = 1,764.25 : x
  2. Step 2: Convert to fraction form
    2,415.49/3,625.67 = 1,764.25/x
  3. Step 3: Cross multiply
    2,415.49x = 3,625.67 × 1,764.25
  4. Step 4: Simplify right side
    2,415.49x = 6,396,588.30
  5. Step 5: Solve for x
    x = 6,396,588.30/2,415.49
  6. Step 6: Final answer
    x = 2,648.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.