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Finding the Fourth Proportional to 2,923.32, 4,385.71 and 843.28

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Solution

The fourth proportional to 2,923.32, 4,385.71 and 843.28 is: 1,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.32 : 4,385.71 = 843.28 : x
  2. Step 2: Convert to fraction form
    2,923.32/4,385.71 = 843.28/x
  3. Step 3: Cross multiply
    2,923.32x = 4,385.71 × 843.28
  4. Step 4: Simplify right side
    2,923.32x = 3,698,371.62
  5. Step 5: Solve for x
    x = 3,698,371.62/2,923.32
  6. Step 6: Final answer
    x = 1,265.13

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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.