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Finding the Fourth Proportional to 2,635.58, 3,633.82 and 1,689.82

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Solution

The fourth proportional to 2,635.58, 3,633.82 and 1,689.82 is: 2,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.58 : 3,633.82 = 1,689.82 : x
  2. Step 2: Convert to fraction form
    2,635.58/3,633.82 = 1,689.82/x
  3. Step 3: Cross multiply
    2,635.58x = 3,633.82 × 1,689.82
  4. Step 4: Simplify right side
    2,635.58x = 6,140,501.71
  5. Step 5: Solve for x
    x = 6,140,501.71/2,635.58
  6. Step 6: Final answer
    x = 2,329.85

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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.