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Finding the Fourth Proportional to 2,956.86, 4,435.22 and 765.56

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Solution

The fourth proportional to 2,956.86, 4,435.22 and 765.56 is: 1,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.86 : 4,435.22 = 765.56 : x
  2. Step 2: Convert to fraction form
    2,956.86/4,435.22 = 765.56/x
  3. Step 3: Cross multiply
    2,956.86x = 4,435.22 × 765.56
  4. Step 4: Simplify right side
    2,956.86x = 3,395,427.02
  5. Step 5: Solve for x
    x = 3,395,427.02/2,956.86
  6. Step 6: Final answer
    x = 1,148.32

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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.