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Finding the Fourth Proportional to 2,608.85, 3,600.23 and 1,429.94

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Solution

The fourth proportional to 2,608.85, 3,600.23 and 1,429.94 is: 1,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.85 : 3,600.23 = 1,429.94 : x
  2. Step 2: Convert to fraction form
    2,608.85/3,600.23 = 1,429.94/x
  3. Step 3: Cross multiply
    2,608.85x = 3,600.23 × 1,429.94
  4. Step 4: Simplify right side
    2,608.85x = 5,148,087.74
  5. Step 5: Solve for x
    x = 5,148,087.74/2,608.85
  6. Step 6: Final answer
    x = 1,973.32

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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.