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Finding the Fourth Proportional to 1,831.64, 2,747.72 and 532.94

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Solution

The fourth proportional to 1,831.64, 2,747.72 and 532.94 is: 799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.64 : 2,747.72 = 532.94 : x
  2. Step 2: Convert to fraction form
    1,831.64/2,747.72 = 532.94/x
  3. Step 3: Cross multiply
    1,831.64x = 2,747.72 × 532.94
  4. Step 4: Simplify right side
    1,831.64x = 1,464,369.90
  5. Step 5: Solve for x
    x = 1,464,369.90/1,831.64
  6. Step 6: Final answer
    x = 799.49

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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.