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Finding the Fourth Proportional to 2,908.43, 4,013.62 and 1,582.13

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Solution

The fourth proportional to 2,908.43, 4,013.62 and 1,582.13 is: 2,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.43 : 4,013.62 = 1,582.13 : x
  2. Step 2: Convert to fraction form
    2,908.43/4,013.62 = 1,582.13/x
  3. Step 3: Cross multiply
    2,908.43x = 4,013.62 × 1,582.13
  4. Step 4: Simplify right side
    2,908.43x = 6,350,068.61
  5. Step 5: Solve for x
    x = 6,350,068.61/2,908.43
  6. Step 6: Final answer
    x = 2,183.33

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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.