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Finding the Fourth Proportional to 2,028.36, 2,800.74 and 1,320.54

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Solution

The fourth proportional to 2,028.36, 2,800.74 and 1,320.54 is: 1,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.36 : 2,800.74 = 1,320.54 : x
  2. Step 2: Convert to fraction form
    2,028.36/2,800.74 = 1,320.54/x
  3. Step 3: Cross multiply
    2,028.36x = 2,800.74 × 1,320.54
  4. Step 4: Simplify right side
    2,028.36x = 3,698,489.20
  5. Step 5: Solve for x
    x = 3,698,489.20/2,028.36
  6. Step 6: Final answer
    x = 1,823.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.