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Finding the Fourth Proportional to 3,051.48, 4,584.56 and 1,958

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Solution

The fourth proportional to 3,051.48, 4,584.56 and 1,958 is: 2,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.48 : 4,584.56 = 1,958 : x
  2. Step 2: Convert to fraction form
    3,051.48/4,584.56 = 1,958/x
  3. Step 3: Cross multiply
    3,051.48x = 4,584.56 × 1,958
  4. Step 4: Simplify right side
    3,051.48x = 8,976,568.48
  5. Step 5: Solve for x
    x = 8,976,568.48/3,051.48
  6. Step 6: Final answer
    x = 2,941.71

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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.