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Finding the Fourth Proportional to 1,653.83, 2,480.73 and 679.25

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Solution

The fourth proportional to 1,653.83, 2,480.73 and 679.25 is: 1,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.83 : 2,480.73 = 679.25 : x
  2. Step 2: Convert to fraction form
    1,653.83/2,480.73 = 679.25/x
  3. Step 3: Cross multiply
    1,653.83x = 2,480.73 × 679.25
  4. Step 4: Simplify right side
    1,653.83x = 1,685,023.45
  5. Step 5: Solve for x
    x = 1,685,023.45/1,653.83
  6. Step 6: Final answer
    x = 1,018.86

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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.