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Finding the Fourth Proportional to 3,402.34, 4,696.85 and 2,269.89

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Solution

The fourth proportional to 3,402.34, 4,696.85 and 2,269.89 is: 3,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.34 : 4,696.85 = 2,269.89 : x
  2. Step 2: Convert to fraction form
    3,402.34/4,696.85 = 2,269.89/x
  3. Step 3: Cross multiply
    3,402.34x = 4,696.85 × 2,269.89
  4. Step 4: Simplify right side
    3,402.34x = 10,661,309.13
  5. Step 5: Solve for x
    x = 10,661,309.13/3,402.34
  6. Step 6: Final answer
    x = 3,133.52

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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.