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Finding the Fourth Proportional to 2,718.70, 3,750.98 and 1,523.56

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Solution

The fourth proportional to 2,718.70, 3,750.98 and 1,523.56 is: 2,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.70 : 3,750.98 = 1,523.56 : x
  2. Step 2: Convert to fraction form
    2,718.70/3,750.98 = 1,523.56/x
  3. Step 3: Cross multiply
    2,718.70x = 3,750.98 × 1,523.56
  4. Step 4: Simplify right side
    2,718.70x = 5,714,843.09
  5. Step 5: Solve for x
    x = 5,714,843.09/2,718.70
  6. Step 6: Final answer
    x = 2,102.05

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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.