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Finding the Fourth Proportional to 3,402.42, 5,106.87 and 1,737.80

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Solution

The fourth proportional to 3,402.42, 5,106.87 and 1,737.80 is: 2,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.42 : 5,106.87 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    3,402.42/5,106.87 = 1,737.80/x
  3. Step 3: Cross multiply
    3,402.42x = 5,106.87 × 1,737.80
  4. Step 4: Simplify right side
    3,402.42x = 8,874,731.45
  5. Step 5: Solve for x
    x = 8,874,731.45/3,402.42
  6. Step 6: Final answer
    x = 2,608.36

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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.