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Finding the Fourth Proportional to 2,766.51, 4,149.50 and 1,776.71

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Solution

The fourth proportional to 2,766.51, 4,149.50 and 1,776.71 is: 2,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.51 : 4,149.50 = 1,776.71 : x
  2. Step 2: Convert to fraction form
    2,766.51/4,149.50 = 1,776.71/x
  3. Step 3: Cross multiply
    2,766.51x = 4,149.50 × 1,776.71
  4. Step 4: Simplify right side
    2,766.51x = 7,372,459.64
  5. Step 5: Solve for x
    x = 7,372,459.64/2,766.51
  6. Step 6: Final answer
    x = 2,664.90

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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.