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Finding the Fourth Proportional to 3,402.90, 4,696.20 and 1,986.78

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Solution

The fourth proportional to 3,402.90, 4,696.20 and 1,986.78 is: 2,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.90 : 4,696.20 = 1,986.78 : x
  2. Step 2: Convert to fraction form
    3,402.90/4,696.20 = 1,986.78/x
  3. Step 3: Cross multiply
    3,402.90x = 4,696.20 × 1,986.78
  4. Step 4: Simplify right side
    3,402.90x = 9,330,316.24
  5. Step 5: Solve for x
    x = 9,330,316.24/3,402.90
  6. Step 6: Final answer
    x = 2,741.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.