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Finding the Fourth Proportional to 3,130.45, 4,694.02 and 1,741.70

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Solution

The fourth proportional to 3,130.45, 4,694.02 and 1,741.70 is: 2,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.45 : 4,694.02 = 1,741.70 : x
  2. Step 2: Convert to fraction form
    3,130.45/4,694.02 = 1,741.70/x
  3. Step 3: Cross multiply
    3,130.45x = 4,694.02 × 1,741.70
  4. Step 4: Simplify right side
    3,130.45x = 8,175,582.01
  5. Step 5: Solve for x
    x = 8,175,582.01/3,130.45
  6. Step 6: Final answer
    x = 2,611.63

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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.