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Finding the Fourth Proportional to 2,028.94, 3,044.15 and 859.24

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Solution

The fourth proportional to 2,028.94, 3,044.15 and 859.24 is: 1,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.94 : 3,044.15 = 859.24 : x
  2. Step 2: Convert to fraction form
    2,028.94/3,044.15 = 859.24/x
  3. Step 3: Cross multiply
    2,028.94x = 3,044.15 × 859.24
  4. Step 4: Simplify right side
    2,028.94x = 2,615,655.45
  5. Step 5: Solve for x
    x = 2,615,655.45/2,028.94
  6. Step 6: Final answer
    x = 1,289.17

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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.