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Finding the Fourth Proportional to 3,112.53, 4,667.88 and 1,650.90

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Solution

The fourth proportional to 3,112.53, 4,667.88 and 1,650.90 is: 2,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.53 : 4,667.88 = 1,650.90 : x
  2. Step 2: Convert to fraction form
    3,112.53/4,667.88 = 1,650.90/x
  3. Step 3: Cross multiply
    3,112.53x = 4,667.88 × 1,650.90
  4. Step 4: Simplify right side
    3,112.53x = 7,706,203.09
  5. Step 5: Solve for x
    x = 7,706,203.09/3,112.53
  6. Step 6: Final answer
    x = 2,475.86

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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.