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Finding the Fourth Proportional to 2,815.12, 4,221.66 and 965.74

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Solution

The fourth proportional to 2,815.12, 4,221.66 and 965.74 is: 1,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.12 : 4,221.66 = 965.74 : x
  2. Step 2: Convert to fraction form
    2,815.12/4,221.66 = 965.74/x
  3. Step 3: Cross multiply
    2,815.12x = 4,221.66 × 965.74
  4. Step 4: Simplify right side
    2,815.12x = 4,077,004.82
  5. Step 5: Solve for x
    x = 4,077,004.82/2,815.12
  6. Step 6: Final answer
    x = 1,448.26

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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.