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Finding the Fourth Proportional to 2,992.71, 4,127.24 and 1,873.74

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Solution

The fourth proportional to 2,992.71, 4,127.24 and 1,873.74 is: 2,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.71 : 4,127.24 = 1,873.74 : x
  2. Step 2: Convert to fraction form
    2,992.71/4,127.24 = 1,873.74/x
  3. Step 3: Cross multiply
    2,992.71x = 4,127.24 × 1,873.74
  4. Step 4: Simplify right side
    2,992.71x = 7,733,389.68
  5. Step 5: Solve for x
    x = 7,733,389.68/2,992.71
  6. Step 6: Final answer
    x = 2,584.08

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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.