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Finding the Fourth Proportional to 2,274.48, 3,411.63 and 813.96

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Solution

The fourth proportional to 2,274.48, 3,411.63 and 813.96 is: 1,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.48 : 3,411.63 = 813.96 : x
  2. Step 2: Convert to fraction form
    2,274.48/3,411.63 = 813.96/x
  3. Step 3: Cross multiply
    2,274.48x = 3,411.63 × 813.96
  4. Step 4: Simplify right side
    2,274.48x = 2,776,930.35
  5. Step 5: Solve for x
    x = 2,776,930.35/2,274.48
  6. Step 6: Final answer
    x = 1,220.91

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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.