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Finding the Fourth Proportional to 3,402.43, 4,696.04 and 1,985.90

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Solution

The fourth proportional to 3,402.43, 4,696.04 and 1,985.90 is: 2,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.43 : 4,696.04 = 1,985.90 : x
  2. Step 2: Convert to fraction form
    3,402.43/4,696.04 = 1,985.90/x
  3. Step 3: Cross multiply
    3,402.43x = 4,696.04 × 1,985.90
  4. Step 4: Simplify right side
    3,402.43x = 9,325,847.32
  5. Step 5: Solve for x
    x = 9,325,847.32/3,402.43
  6. Step 6: Final answer
    x = 2,740.94

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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.