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Finding the Fourth Proportional to 2,766.81, 4,149.71 and 917.72

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Solution

The fourth proportional to 2,766.81, 4,149.71 and 917.72 is: 1,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.81 : 4,149.71 = 917.72 : x
  2. Step 2: Convert to fraction form
    2,766.81/4,149.71 = 917.72/x
  3. Step 3: Cross multiply
    2,766.81x = 4,149.71 × 917.72
  4. Step 4: Simplify right side
    2,766.81x = 3,808,271.86
  5. Step 5: Solve for x
    x = 3,808,271.86/2,766.81
  6. Step 6: Final answer
    x = 1,376.41

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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.