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Finding the Fourth Proportional to 1,663.54, 2,480.22 and 1,620.25

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Solution

The fourth proportional to 1,663.54, 2,480.22 and 1,620.25 is: 2,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.54 : 2,480.22 = 1,620.25 : x
  2. Step 2: Convert to fraction form
    1,663.54/2,480.22 = 1,620.25/x
  3. Step 3: Cross multiply
    1,663.54x = 2,480.22 × 1,620.25
  4. Step 4: Simplify right side
    1,663.54x = 4,018,584.21
  5. Step 5: Solve for x
    x = 4,018,584.21/1,663.54
  6. Step 6: Final answer
    x = 2,415.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.