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Finding the Fourth Proportional to 4,102.78, 6,152.01 and 1,469.26

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Solution

The fourth proportional to 4,102.78, 6,152.01 and 1,469.26 is: 2,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.78 : 6,152.01 = 1,469.26 : x
  2. Step 2: Convert to fraction form
    4,102.78/6,152.01 = 1,469.26/x
  3. Step 3: Cross multiply
    4,102.78x = 6,152.01 × 1,469.26
  4. Step 4: Simplify right side
    4,102.78x = 9,038,902.21
  5. Step 5: Solve for x
    x = 9,038,902.21/4,102.78
  6. Step 6: Final answer
    x = 2,203.12

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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.