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Finding the Fourth Proportional to 3,146.44, 4,719.67 and 955.19

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Solution

The fourth proportional to 3,146.44, 4,719.67 and 955.19 is: 1,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.44 : 4,719.67 = 955.19 : x
  2. Step 2: Convert to fraction form
    3,146.44/4,719.67 = 955.19/x
  3. Step 3: Cross multiply
    3,146.44x = 4,719.67 × 955.19
  4. Step 4: Simplify right side
    3,146.44x = 4,508,181.59
  5. Step 5: Solve for x
    x = 4,508,181.59/3,146.44
  6. Step 6: Final answer
    x = 1,432.79

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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.