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Finding the Fourth Proportional to 2,584.99, 3,878.18 and 1,352.07

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Solution

The fourth proportional to 2,584.99, 3,878.18 and 1,352.07 is: 2,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.99 : 3,878.18 = 1,352.07 : x
  2. Step 2: Convert to fraction form
    2,584.99/3,878.18 = 1,352.07/x
  3. Step 3: Cross multiply
    2,584.99x = 3,878.18 × 1,352.07
  4. Step 4: Simplify right side
    2,584.99x = 5,243,578.50
  5. Step 5: Solve for x
    x = 5,243,578.50/2,584.99
  6. Step 6: Final answer
    x = 2,028.47

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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.