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Finding the Fourth Proportional to 2,505.87, 3,759.62 and 1,045.44

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Solution

The fourth proportional to 2,505.87, 3,759.62 and 1,045.44 is: 1,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.87 : 3,759.62 = 1,045.44 : x
  2. Step 2: Convert to fraction form
    2,505.87/3,759.62 = 1,045.44/x
  3. Step 3: Cross multiply
    2,505.87x = 3,759.62 × 1,045.44
  4. Step 4: Simplify right side
    2,505.87x = 3,930,451.91
  5. Step 5: Solve for x
    x = 3,930,451.91/2,505.87
  6. Step 6: Final answer
    x = 1,568.50

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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.