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Finding the Fourth Proportional to 2,675.15, 3,691.63 and 1,496.15

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Solution

The fourth proportional to 2,675.15, 3,691.63 and 1,496.15 is: 2,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.15 : 3,691.63 = 1,496.15 : x
  2. Step 2: Convert to fraction form
    2,675.15/3,691.63 = 1,496.15/x
  3. Step 3: Cross multiply
    2,675.15x = 3,691.63 × 1,496.15
  4. Step 4: Simplify right side
    2,675.15x = 5,523,232.22
  5. Step 5: Solve for x
    x = 5,523,232.22/2,675.15
  6. Step 6: Final answer
    x = 2,064.64

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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.