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Finding the Fourth Proportional to 2,582.69, 3,873.03 and 1,100.97

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Solution

The fourth proportional to 2,582.69, 3,873.03 and 1,100.97 is: 1,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.69 : 3,873.03 = 1,100.97 : x
  2. Step 2: Convert to fraction form
    2,582.69/3,873.03 = 1,100.97/x
  3. Step 3: Cross multiply
    2,582.69x = 3,873.03 × 1,100.97
  4. Step 4: Simplify right side
    2,582.69x = 4,264,089.84
  5. Step 5: Solve for x
    x = 4,264,089.84/2,582.69
  6. Step 6: Final answer
    x = 1,651.03

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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.