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Finding the Fourth Proportional to 3,126, 4,690.82 and 1,740.49

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Solution

The fourth proportional to 3,126, 4,690.82 and 1,740.49 is: 2,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126 : 4,690.82 = 1,740.49 : x
  2. Step 2: Convert to fraction form
    3,126/4,690.82 = 1,740.49/x
  3. Step 3: Cross multiply
    3,126x = 4,690.82 × 1,740.49
  4. Step 4: Simplify right side
    3,126x = 8,164,325.30
  5. Step 5: Solve for x
    x = 8,164,325.30/3,126
  6. Step 6: Final answer
    x = 2,611.75

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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.