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Finding the Fourth Proportional to 2,649.09, 3,657.06 and 1,654.92

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Solution

The fourth proportional to 2,649.09, 3,657.06 and 1,654.92 is: 2,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.09 : 3,657.06 = 1,654.92 : x
  2. Step 2: Convert to fraction form
    2,649.09/3,657.06 = 1,654.92/x
  3. Step 3: Cross multiply
    2,649.09x = 3,657.06 × 1,654.92
  4. Step 4: Simplify right side
    2,649.09x = 6,052,141.74
  5. Step 5: Solve for x
    x = 6,052,141.74/2,649.09
  6. Step 6: Final answer
    x = 2,284.61

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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.