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Finding the Fourth Proportional to 2,608.64, 3,599.90 and 1,429.71

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Solution

The fourth proportional to 2,608.64, 3,599.90 and 1,429.71 is: 1,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.64 : 3,599.90 = 1,429.71 : x
  2. Step 2: Convert to fraction form
    2,608.64/3,599.90 = 1,429.71/x
  3. Step 3: Cross multiply
    2,608.64x = 3,599.90 × 1,429.71
  4. Step 4: Simplify right side
    2,608.64x = 5,146,813.03
  5. Step 5: Solve for x
    x = 5,146,813.03/2,608.64
  6. Step 6: Final answer
    x = 1,972.99

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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.