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Finding the Fourth Proportional to 3,170.50, 4,754.01 and 1,089.34

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Solution

The fourth proportional to 3,170.50, 4,754.01 and 1,089.34 is: 1,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.50 : 4,754.01 = 1,089.34 : x
  2. Step 2: Convert to fraction form
    3,170.50/4,754.01 = 1,089.34/x
  3. Step 3: Cross multiply
    3,170.50x = 4,754.01 × 1,089.34
  4. Step 4: Simplify right side
    3,170.50x = 5,178,733.25
  5. Step 5: Solve for x
    x = 5,178,733.25/3,170.50
  6. Step 6: Final answer
    x = 1,633.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.