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Finding the Fourth Proportional to 2,701.62, 3,728.03 and 1,582.41

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Solution

The fourth proportional to 2,701.62, 3,728.03 and 1,582.41 is: 2,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.62 : 3,728.03 = 1,582.41 : x
  2. Step 2: Convert to fraction form
    2,701.62/3,728.03 = 1,582.41/x
  3. Step 3: Cross multiply
    2,701.62x = 3,728.03 × 1,582.41
  4. Step 4: Simplify right side
    2,701.62x = 5,899,264.04
  5. Step 5: Solve for x
    x = 5,899,264.04/2,701.62
  6. Step 6: Final answer
    x = 2,183.60

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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.