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Finding the Fourth Proportional to 3,041.64, 4,197.44 and 1,644.39

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Solution

The fourth proportional to 3,041.64, 4,197.44 and 1,644.39 is: 2,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.64 : 4,197.44 = 1,644.39 : x
  2. Step 2: Convert to fraction form
    3,041.64/4,197.44 = 1,644.39/x
  3. Step 3: Cross multiply
    3,041.64x = 4,197.44 × 1,644.39
  4. Step 4: Simplify right side
    3,041.64x = 6,902,232.47
  5. Step 5: Solve for x
    x = 6,902,232.47/3,041.64
  6. Step 6: Final answer
    x = 2,269.25

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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.