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Finding the Fourth Proportional to 3,334.97, 4,602.20 and 1,842.87

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Solution

The fourth proportional to 3,334.97, 4,602.20 and 1,842.87 is: 2,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.97 : 4,602.20 = 1,842.87 : x
  2. Step 2: Convert to fraction form
    3,334.97/4,602.20 = 1,842.87/x
  3. Step 3: Cross multiply
    3,334.97x = 4,602.20 × 1,842.87
  4. Step 4: Simplify right side
    3,334.97x = 8,481,248.84
  5. Step 5: Solve for x
    x = 8,481,248.84/3,334.97
  6. Step 6: Final answer
    x = 2,543.12

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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.