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Finding the Fourth Proportional to 4,102.89, 6,150.67 and 1,505.22

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Solution

The fourth proportional to 4,102.89, 6,150.67 and 1,505.22 is: 2,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.89 : 6,150.67 = 1,505.22 : x
  2. Step 2: Convert to fraction form
    4,102.89/6,150.67 = 1,505.22/x
  3. Step 3: Cross multiply
    4,102.89x = 6,150.67 × 1,505.22
  4. Step 4: Simplify right side
    4,102.89x = 9,258,111.50
  5. Step 5: Solve for x
    x = 9,258,111.50/4,102.89
  6. Step 6: Final answer
    x = 2,256.49

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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.