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Finding the Fourth Proportional to 3,104.10, 4,283.64 and 1,687.77

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Solution

The fourth proportional to 3,104.10, 4,283.64 and 1,687.77 is: 2,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.10 : 4,283.64 = 1,687.77 : x
  2. Step 2: Convert to fraction form
    3,104.10/4,283.64 = 1,687.77/x
  3. Step 3: Cross multiply
    3,104.10x = 4,283.64 × 1,687.77
  4. Step 4: Simplify right side
    3,104.10x = 7,229,799.08
  5. Step 5: Solve for x
    x = 7,229,799.08/3,104.10
  6. Step 6: Final answer
    x = 2,329.11

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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.