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Finding the Fourth Proportional to 2,659.78, 3,670.48 and 1,480.86

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Solution

The fourth proportional to 2,659.78, 3,670.48 and 1,480.86 is: 2,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.78 : 3,670.48 = 1,480.86 : x
  2. Step 2: Convert to fraction form
    2,659.78/3,670.48 = 1,480.86/x
  3. Step 3: Cross multiply
    2,659.78x = 3,670.48 × 1,480.86
  4. Step 4: Simplify right side
    2,659.78x = 5,435,467.01
  5. Step 5: Solve for x
    x = 5,435,467.01/2,659.78
  6. Step 6: Final answer
    x = 2,043.58

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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.