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Finding the Fourth Proportional to 2,633.50, 3,634.28 and 1,703.62

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Solution

The fourth proportional to 2,633.50, 3,634.28 and 1,703.62 is: 2,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.50 : 3,634.28 = 1,703.62 : x
  2. Step 2: Convert to fraction form
    2,633.50/3,634.28 = 1,703.62/x
  3. Step 3: Cross multiply
    2,633.50x = 3,634.28 × 1,703.62
  4. Step 4: Simplify right side
    2,633.50x = 6,191,432.09
  5. Step 5: Solve for x
    x = 6,191,432.09/2,633.50
  6. Step 6: Final answer
    x = 2,351.03

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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.