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Finding the Fourth Proportional to 2,815.72, 4,218.93 and 965.81

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Solution

The fourth proportional to 2,815.72, 4,218.93 and 965.81 is: 1,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.72 : 4,218.93 = 965.81 : x
  2. Step 2: Convert to fraction form
    2,815.72/4,218.93 = 965.81/x
  3. Step 3: Cross multiply
    2,815.72x = 4,218.93 × 965.81
  4. Step 4: Simplify right side
    2,815.72x = 4,074,684.78
  5. Step 5: Solve for x
    x = 4,074,684.78/2,815.72
  6. Step 6: Final answer
    x = 1,447.12

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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.