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Finding the Fourth Proportional to 2,608.40, 3,599.60 and 1,429.53

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Solution

The fourth proportional to 2,608.40, 3,599.60 and 1,429.53 is: 1,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.40 : 3,599.60 = 1,429.53 : x
  2. Step 2: Convert to fraction form
    2,608.40/3,599.60 = 1,429.53/x
  3. Step 3: Cross multiply
    2,608.40x = 3,599.60 × 1,429.53
  4. Step 4: Simplify right side
    2,608.40x = 5,145,729.04
  5. Step 5: Solve for x
    x = 5,145,729.04/2,608.40
  6. Step 6: Final answer
    x = 1,972.76

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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.