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Finding the Fourth Proportional to 2,956.71, 4,435.31 and 765.48

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Solution

The fourth proportional to 2,956.71, 4,435.31 and 765.48 is: 1,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.71 : 4,435.31 = 765.48 : x
  2. Step 2: Convert to fraction form
    2,956.71/4,435.31 = 765.48/x
  3. Step 3: Cross multiply
    2,956.71x = 4,435.31 × 765.48
  4. Step 4: Simplify right side
    2,956.71x = 3,395,141.10
  5. Step 5: Solve for x
    x = 3,395,141.10/2,956.71
  6. Step 6: Final answer
    x = 1,148.28

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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.