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Finding the Fourth Proportional to 2,956.53, 4,434.90 and 765.48

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Solution

The fourth proportional to 2,956.53, 4,434.90 and 765.48 is: 1,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.53 : 4,434.90 = 765.48 : x
  2. Step 2: Convert to fraction form
    2,956.53/4,434.90 = 765.48/x
  3. Step 3: Cross multiply
    2,956.53x = 4,434.90 × 765.48
  4. Step 4: Simplify right side
    2,956.53x = 3,394,827.25
  5. Step 5: Solve for x
    x = 3,394,827.25/2,956.53
  6. Step 6: Final answer
    x = 1,148.25

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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.