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Finding the Fourth Proportional to 2,650.59, 3,659.07 and 1,657.33

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Solution

The fourth proportional to 2,650.59, 3,659.07 and 1,657.33 is: 2,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.59 : 3,659.07 = 1,657.33 : x
  2. Step 2: Convert to fraction form
    2,650.59/3,659.07 = 1,657.33/x
  3. Step 3: Cross multiply
    2,650.59x = 3,659.07 × 1,657.33
  4. Step 4: Simplify right side
    2,650.59x = 6,064,283.55
  5. Step 5: Solve for x
    x = 6,064,283.55/2,650.59
  6. Step 6: Final answer
    x = 2,287.90

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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.