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Finding the Fourth Proportional to 2,714.07, 3,743.97 and 1,718.99

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Solution

The fourth proportional to 2,714.07, 3,743.97 and 1,718.99 is: 2,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.07 : 3,743.97 = 1,718.99 : x
  2. Step 2: Convert to fraction form
    2,714.07/3,743.97 = 1,718.99/x
  3. Step 3: Cross multiply
    2,714.07x = 3,743.97 × 1,718.99
  4. Step 4: Simplify right side
    2,714.07x = 6,435,828.27
  5. Step 5: Solve for x
    x = 6,435,828.27/2,714.07
  6. Step 6: Final answer
    x = 2,371.28

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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.