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Finding the Fourth Proportional to 2,422.47, 3,344.25 and 1,714.88

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Solution

The fourth proportional to 2,422.47, 3,344.25 and 1,714.88 is: 2,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.47 : 3,344.25 = 1,714.88 : x
  2. Step 2: Convert to fraction form
    2,422.47/3,344.25 = 1,714.88/x
  3. Step 3: Cross multiply
    2,422.47x = 3,344.25 × 1,714.88
  4. Step 4: Simplify right side
    2,422.47x = 5,734,970.72
  5. Step 5: Solve for x
    x = 5,734,970.72/2,422.47
  6. Step 6: Final answer
    x = 2,367.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.