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Finding the Fourth Proportional to 2,274.31, 3,411.57 and 630.82

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Solution

The fourth proportional to 2,274.31, 3,411.57 and 630.82 is: 946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.31 : 3,411.57 = 630.82 : x
  2. Step 2: Convert to fraction form
    2,274.31/3,411.57 = 630.82/x
  3. Step 3: Cross multiply
    2,274.31x = 3,411.57 × 630.82
  4. Step 4: Simplify right side
    2,274.31x = 2,152,086.59
  5. Step 5: Solve for x
    x = 2,152,086.59/2,274.31
  6. Step 6: Final answer
    x = 946.26

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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.