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Finding the Fourth Proportional to 2,633.85, 3,634.74 and 1,438.87

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Solution

The fourth proportional to 2,633.85, 3,634.74 and 1,438.87 is: 1,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.85 : 3,634.74 = 1,438.87 : x
  2. Step 2: Convert to fraction form
    2,633.85/3,634.74 = 1,438.87/x
  3. Step 3: Cross multiply
    2,633.85x = 3,634.74 × 1,438.87
  4. Step 4: Simplify right side
    2,633.85x = 5,229,926.29
  5. Step 5: Solve for x
    x = 5,229,926.29/2,633.85
  6. Step 6: Final answer
    x = 1,985.66

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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.