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Finding the Fourth Proportional to 2,655.66, 3,985.36 and 1,196.04

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Solution

The fourth proportional to 2,655.66, 3,985.36 and 1,196.04 is: 1,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.66 : 3,985.36 = 1,196.04 : x
  2. Step 2: Convert to fraction form
    2,655.66/3,985.36 = 1,196.04/x
  3. Step 3: Cross multiply
    2,655.66x = 3,985.36 × 1,196.04
  4. Step 4: Simplify right side
    2,655.66x = 4,766,649.97
  5. Step 5: Solve for x
    x = 4,766,649.97/2,655.66
  6. Step 6: Final answer
    x = 1,794.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.