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Finding the Fourth Proportional to 2,422.52, 3,343.08 and 1,374.92

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Solution

The fourth proportional to 2,422.52, 3,343.08 and 1,374.92 is: 1,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.52 : 3,343.08 = 1,374.92 : x
  2. Step 2: Convert to fraction form
    2,422.52/3,343.08 = 1,374.92/x
  3. Step 3: Cross multiply
    2,422.52x = 3,343.08 × 1,374.92
  4. Step 4: Simplify right side
    2,422.52x = 4,596,467.55
  5. Step 5: Solve for x
    x = 4,596,467.55/2,422.52
  6. Step 6: Final answer
    x = 1,897.39

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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.