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Finding the Fourth Proportional to 2,965.60, 4,447.14 and 1,321.96

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Solution

The fourth proportional to 2,965.60, 4,447.14 and 1,321.96 is: 1,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.60 : 4,447.14 = 1,321.96 : x
  2. Step 2: Convert to fraction form
    2,965.60/4,447.14 = 1,321.96/x
  3. Step 3: Cross multiply
    2,965.60x = 4,447.14 × 1,321.96
  4. Step 4: Simplify right side
    2,965.60x = 5,878,941.19
  5. Step 5: Solve for x
    x = 5,878,941.19/2,965.60
  6. Step 6: Final answer
    x = 1,982.38

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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.