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Finding the Fourth Proportional to 1,448.37, 2,172.56 and 352.73

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Solution

The fourth proportional to 1,448.37, 2,172.56 and 352.73 is: 529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.37 : 2,172.56 = 352.73 : x
  2. Step 2: Convert to fraction form
    1,448.37/2,172.56 = 352.73/x
  3. Step 3: Cross multiply
    1,448.37x = 2,172.56 × 352.73
  4. Step 4: Simplify right side
    1,448.37x = 766,330.76
  5. Step 5: Solve for x
    x = 766,330.76/1,448.37
  6. Step 6: Final answer
    x = 529.10

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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.