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Finding the Fourth Proportional to 2,718.74, 3,748.97 and 2,054.54

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Solution

The fourth proportional to 2,718.74, 3,748.97 and 2,054.54 is: 2,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.74 : 3,748.97 = 2,054.54 : x
  2. Step 2: Convert to fraction form
    2,718.74/3,748.97 = 2,054.54/x
  3. Step 3: Cross multiply
    2,718.74x = 3,748.97 × 2,054.54
  4. Step 4: Simplify right side
    2,718.74x = 7,702,379.81
  5. Step 5: Solve for x
    x = 7,702,379.81/2,718.74
  6. Step 6: Final answer
    x = 2,833.07

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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.