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Finding the Fourth Proportional to 3,170.36, 4,751.44 and 2,128.82

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Solution

The fourth proportional to 3,170.36, 4,751.44 and 2,128.82 is: 3,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.36 : 4,751.44 = 2,128.82 : x
  2. Step 2: Convert to fraction form
    3,170.36/4,751.44 = 2,128.82/x
  3. Step 3: Cross multiply
    3,170.36x = 4,751.44 × 2,128.82
  4. Step 4: Simplify right side
    3,170.36x = 10,114,931.42
  5. Step 5: Solve for x
    x = 10,114,931.42/3,170.36
  6. Step 6: Final answer
    x = 3,190.47

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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.