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Finding the Fourth Proportional to 2,635.31, 3,636.72 and 1,690.81

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Solution

The fourth proportional to 2,635.31, 3,636.72 and 1,690.81 is: 2,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.31 : 3,636.72 = 1,690.81 : x
  2. Step 2: Convert to fraction form
    2,635.31/3,636.72 = 1,690.81/x
  3. Step 3: Cross multiply
    2,635.31x = 3,636.72 × 1,690.81
  4. Step 4: Simplify right side
    2,635.31x = 6,148,993.45
  5. Step 5: Solve for x
    x = 6,148,993.45/2,635.31
  6. Step 6: Final answer
    x = 2,333.31

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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.