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Finding the Fourth Proportional to 2,274.15, 3,411.10 and 1,337.63

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Solution

The fourth proportional to 2,274.15, 3,411.10 and 1,337.63 is: 2,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.15 : 3,411.10 = 1,337.63 : x
  2. Step 2: Convert to fraction form
    2,274.15/3,411.10 = 1,337.63/x
  3. Step 3: Cross multiply
    2,274.15x = 3,411.10 × 1,337.63
  4. Step 4: Simplify right side
    2,274.15x = 4,562,766.79
  5. Step 5: Solve for x
    x = 4,562,766.79/2,274.15
  6. Step 6: Final answer
    x = 2,006.36

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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.