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Finding the Fourth Proportional to 2,917.27, 4,374.48 and 968.81

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Solution

The fourth proportional to 2,917.27, 4,374.48 and 968.81 is: 1,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.27 : 4,374.48 = 968.81 : x
  2. Step 2: Convert to fraction form
    2,917.27/4,374.48 = 968.81/x
  3. Step 3: Cross multiply
    2,917.27x = 4,374.48 × 968.81
  4. Step 4: Simplify right side
    2,917.27x = 4,238,050.91
  5. Step 5: Solve for x
    x = 4,238,050.91/2,917.27
  6. Step 6: Final answer
    x = 1,452.75

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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.