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Finding the Fourth Proportional to 2,651.09, 3,657.49 and 1,655.96

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Solution

The fourth proportional to 2,651.09, 3,657.49 and 1,655.96 is: 2,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.09 : 3,657.49 = 1,655.96 : x
  2. Step 2: Convert to fraction form
    2,651.09/3,657.49 = 1,655.96/x
  3. Step 3: Cross multiply
    2,651.09x = 3,657.49 × 1,655.96
  4. Step 4: Simplify right side
    2,651.09x = 6,056,634.71
  5. Step 5: Solve for x
    x = 6,056,634.71/2,651.09
  6. Step 6: Final answer
    x = 2,284.59

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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.