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Finding the Fourth Proportional to 3,201.38, 4,802.06 and 1,447

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Solution

The fourth proportional to 3,201.38, 4,802.06 and 1,447 is: 2,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.38 : 4,802.06 = 1,447 : x
  2. Step 2: Convert to fraction form
    3,201.38/4,802.06 = 1,447/x
  3. Step 3: Cross multiply
    3,201.38x = 4,802.06 × 1,447
  4. Step 4: Simplify right side
    3,201.38x = 6,948,580.82
  5. Step 5: Solve for x
    x = 6,948,580.82/3,201.38
  6. Step 6: Final answer
    x = 2,170.50

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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.