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Finding the Fourth Proportional to 1,777.74, 2,667.69 and 1,630.86

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Solution

The fourth proportional to 1,777.74, 2,667.69 and 1,630.86 is: 2,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.74 : 2,667.69 = 1,630.86 : x
  2. Step 2: Convert to fraction form
    1,777.74/2,667.69 = 1,630.86/x
  3. Step 3: Cross multiply
    1,777.74x = 2,667.69 × 1,630.86
  4. Step 4: Simplify right side
    1,777.74x = 4,350,628.91
  5. Step 5: Solve for x
    x = 4,350,628.91/1,777.74
  6. Step 6: Final answer
    x = 2,447.28

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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.