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Finding the Fourth Proportional to 2,649.58, 3,655.47 and 1,601.26

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Solution

The fourth proportional to 2,649.58, 3,655.47 and 1,601.26 is: 2,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.58 : 3,655.47 = 1,601.26 : x
  2. Step 2: Convert to fraction form
    2,649.58/3,655.47 = 1,601.26/x
  3. Step 3: Cross multiply
    2,649.58x = 3,655.47 × 1,601.26
  4. Step 4: Simplify right side
    2,649.58x = 5,853,357.89
  5. Step 5: Solve for x
    x = 5,853,357.89/2,649.58
  6. Step 6: Final answer
    x = 2,209.16

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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.