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Finding the Fourth Proportional to 2,955.93, 4,433.88 and 764.47

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Solution

The fourth proportional to 2,955.93, 4,433.88 and 764.47 is: 1,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.93 : 4,433.88 = 764.47 : x
  2. Step 2: Convert to fraction form
    2,955.93/4,433.88 = 764.47/x
  3. Step 3: Cross multiply
    2,955.93x = 4,433.88 × 764.47
  4. Step 4: Simplify right side
    2,955.93x = 3,389,568.24
  5. Step 5: Solve for x
    x = 3,389,568.24/2,955.93
  6. Step 6: Final answer
    x = 1,146.70

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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.