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Finding the Fourth Proportional to 2,908.61, 4,013.80 and 1,582.28

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Solution

The fourth proportional to 2,908.61, 4,013.80 and 1,582.28 is: 2,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.61 : 4,013.80 = 1,582.28 : x
  2. Step 2: Convert to fraction form
    2,908.61/4,013.80 = 1,582.28/x
  3. Step 3: Cross multiply
    2,908.61x = 4,013.80 × 1,582.28
  4. Step 4: Simplify right side
    2,908.61x = 6,350,977.97
  5. Step 5: Solve for x
    x = 6,350,977.97/2,908.61
  6. Step 6: Final answer
    x = 2,183.51

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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.