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Finding the Fourth Proportional to 2,908.71, 4,014 and 1,582.47

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Solution

The fourth proportional to 2,908.71, 4,014 and 1,582.47 is: 2,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.71 : 4,014 = 1,582.47 : x
  2. Step 2: Convert to fraction form
    2,908.71/4,014 = 1,582.47/x
  3. Step 3: Cross multiply
    2,908.71x = 4,014 × 1,582.47
  4. Step 4: Simplify right side
    2,908.71x = 6,352,034.58
  5. Step 5: Solve for x
    x = 6,352,034.58/2,908.71
  6. Step 6: Final answer
    x = 2,183.80

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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.