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Finding the Fourth Proportional to 2,873.48, 3,963.74 and 1,754.06

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Solution

The fourth proportional to 2,873.48, 3,963.74 and 1,754.06 is: 2,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.48 : 3,963.74 = 1,754.06 : x
  2. Step 2: Convert to fraction form
    2,873.48/3,963.74 = 1,754.06/x
  3. Step 3: Cross multiply
    2,873.48x = 3,963.74 × 1,754.06
  4. Step 4: Simplify right side
    2,873.48x = 6,952,609.20
  5. Step 5: Solve for x
    x = 6,952,609.20/2,873.48
  6. Step 6: Final answer
    x = 2,419.58

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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.