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Finding the Fourth Proportional to 2,961.87, 4,441.52 and 1,574.88

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Solution

The fourth proportional to 2,961.87, 4,441.52 and 1,574.88 is: 2,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.87 : 4,441.52 = 1,574.88 : x
  2. Step 2: Convert to fraction form
    2,961.87/4,441.52 = 1,574.88/x
  3. Step 3: Cross multiply
    2,961.87x = 4,441.52 × 1,574.88
  4. Step 4: Simplify right side
    2,961.87x = 6,994,853.14
  5. Step 5: Solve for x
    x = 6,994,853.14/2,961.87
  6. Step 6: Final answer
    x = 2,361.63

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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.