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Finding the Fourth Proportional to 1,831.73, 2,748.06 and 533.20

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Solution

The fourth proportional to 1,831.73, 2,748.06 and 533.20 is: 799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.73 : 2,748.06 = 533.20 : x
  2. Step 2: Convert to fraction form
    1,831.73/2,748.06 = 533.20/x
  3. Step 3: Cross multiply
    1,831.73x = 2,748.06 × 533.20
  4. Step 4: Simplify right side
    1,831.73x = 1,465,265.59
  5. Step 5: Solve for x
    x = 1,465,265.59/1,831.73
  6. Step 6: Final answer
    x = 799.94

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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.