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Finding the Fourth Proportional to 2,701.88, 3,727.28 and 1,582.84

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Solution

The fourth proportional to 2,701.88, 3,727.28 and 1,582.84 is: 2,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.88 : 3,727.28 = 1,582.84 : x
  2. Step 2: Convert to fraction form
    2,701.88/3,727.28 = 1,582.84/x
  3. Step 3: Cross multiply
    2,701.88x = 3,727.28 × 1,582.84
  4. Step 4: Simplify right side
    2,701.88x = 5,899,687.88
  5. Step 5: Solve for x
    x = 5,899,687.88/2,701.88
  6. Step 6: Final answer
    x = 2,183.55

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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.