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Finding the Fourth Proportional to 2,761.42, 3,810.49 and 1,582.33

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Solution

The fourth proportional to 2,761.42, 3,810.49 and 1,582.33 is: 2,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.42 : 3,810.49 = 1,582.33 : x
  2. Step 2: Convert to fraction form
    2,761.42/3,810.49 = 1,582.33/x
  3. Step 3: Cross multiply
    2,761.42x = 3,810.49 × 1,582.33
  4. Step 4: Simplify right side
    2,761.42x = 6,029,452.64
  5. Step 5: Solve for x
    x = 6,029,452.64/2,761.42
  6. Step 6: Final answer
    x = 2,183.46

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