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Finding the Fourth Proportional to 3,171.06, 4,756.49 and 1,223.68

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Solution

The fourth proportional to 3,171.06, 4,756.49 and 1,223.68 is: 1,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.06 : 4,756.49 = 1,223.68 : x
  2. Step 2: Convert to fraction form
    3,171.06/4,756.49 = 1,223.68/x
  3. Step 3: Cross multiply
    3,171.06x = 4,756.49 × 1,223.68
  4. Step 4: Simplify right side
    3,171.06x = 5,820,421.68
  5. Step 5: Solve for x
    x = 5,820,421.68/3,171.06
  6. Step 6: Final answer
    x = 1,835.48

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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.