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Finding the Fourth Proportional to 2,021.69, 3,032.54 and 1,788.41

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Solution

The fourth proportional to 2,021.69, 3,032.54 and 1,788.41 is: 2,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.69 : 3,032.54 = 1,788.41 : x
  2. Step 2: Convert to fraction form
    2,021.69/3,032.54 = 1,788.41/x
  3. Step 3: Cross multiply
    2,021.69x = 3,032.54 × 1,788.41
  4. Step 4: Simplify right side
    2,021.69x = 5,423,400.76
  5. Step 5: Solve for x
    x = 5,423,400.76/2,021.69
  6. Step 6: Final answer
    x = 2,682.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.