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Finding the Fourth Proportional to 2,955.43, 4,432.94 and 764.08

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Solution

The fourth proportional to 2,955.43, 4,432.94 and 764.08 is: 1,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.43 : 4,432.94 = 764.08 : x
  2. Step 2: Convert to fraction form
    2,955.43/4,432.94 = 764.08/x
  3. Step 3: Cross multiply
    2,955.43x = 4,432.94 × 764.08
  4. Step 4: Simplify right side
    2,955.43x = 3,387,105.89
  5. Step 5: Solve for x
    x = 3,387,105.89/2,955.43
  6. Step 6: Final answer
    x = 1,146.06

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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.