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Finding the Fourth Proportional to 3,335.39, 4,602.74 and 1,843.23

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Solution

The fourth proportional to 3,335.39, 4,602.74 and 1,843.23 is: 2,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.39 : 4,602.74 = 1,843.23 : x
  2. Step 2: Convert to fraction form
    3,335.39/4,602.74 = 1,843.23/x
  3. Step 3: Cross multiply
    3,335.39x = 4,602.74 × 1,843.23
  4. Step 4: Simplify right side
    3,335.39x = 8,483,899.23
  5. Step 5: Solve for x
    x = 8,483,899.23/3,335.39
  6. Step 6: Final answer
    x = 2,543.60

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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.