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Finding the Fourth Proportional to 1,744.35, 2,407.09 and 1,605.03

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Solution

The fourth proportional to 1,744.35, 2,407.09 and 1,605.03 is: 2,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.35 : 2,407.09 = 1,605.03 : x
  2. Step 2: Convert to fraction form
    1,744.35/2,407.09 = 1,605.03/x
  3. Step 3: Cross multiply
    1,744.35x = 2,407.09 × 1,605.03
  4. Step 4: Simplify right side
    1,744.35x = 3,863,451.66
  5. Step 5: Solve for x
    x = 3,863,451.66/1,744.35
  6. Step 6: Final answer
    x = 2,214.84

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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.