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Finding the Fourth Proportional to 2,297.63, 3,167.24 and 1,894.39

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Solution

The fourth proportional to 2,297.63, 3,167.24 and 1,894.39 is: 2,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.63 : 3,167.24 = 1,894.39 : x
  2. Step 2: Convert to fraction form
    2,297.63/3,167.24 = 1,894.39/x
  3. Step 3: Cross multiply
    2,297.63x = 3,167.24 × 1,894.39
  4. Step 4: Simplify right side
    2,297.63x = 5,999,970.39
  5. Step 5: Solve for x
    x = 5,999,970.39/2,297.63
  6. Step 6: Final answer
    x = 2,611.37

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1.5x scale

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.