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Finding the Fourth Proportional to 2,893.09, 4,322.05 and 1,844.74

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Solution

The fourth proportional to 2,893.09, 4,322.05 and 1,844.74 is: 2,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.09 : 4,322.05 = 1,844.74 : x
  2. Step 2: Convert to fraction form
    2,893.09/4,322.05 = 1,844.74/x
  3. Step 3: Cross multiply
    2,893.09x = 4,322.05 × 1,844.74
  4. Step 4: Simplify right side
    2,893.09x = 7,973,058.52
  5. Step 5: Solve for x
    x = 7,973,058.52/2,893.09
  6. Step 6: Final answer
    x = 2,755.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.