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Finding the Fourth Proportional to 2,274.47, 3,411.33 and 630.98

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Solution

The fourth proportional to 2,274.47, 3,411.33 and 630.98 is: 946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.47 : 3,411.33 = 630.98 : x
  2. Step 2: Convert to fraction form
    2,274.47/3,411.33 = 630.98/x
  3. Step 3: Cross multiply
    2,274.47x = 3,411.33 × 630.98
  4. Step 4: Simplify right side
    2,274.47x = 2,152,481.00
  5. Step 5: Solve for x
    x = 2,152,481.00/2,274.47
  6. Step 6: Final answer
    x = 946.37

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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.