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Finding the Fourth Proportional to 3,170.67, 4,753.06 and 1,505.58

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Solution

The fourth proportional to 3,170.67, 4,753.06 and 1,505.58 is: 2,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.67 : 4,753.06 = 1,505.58 : x
  2. Step 2: Convert to fraction form
    3,170.67/4,753.06 = 1,505.58/x
  3. Step 3: Cross multiply
    3,170.67x = 4,753.06 × 1,505.58
  4. Step 4: Simplify right side
    3,170.67x = 7,156,112.07
  5. Step 5: Solve for x
    x = 7,156,112.07/3,170.67
  6. Step 6: Final answer
    x = 2,256.97

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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.