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Finding the Fourth Proportional to 2,608.70, 3,599.96 and 1,429.70

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Solution

The fourth proportional to 2,608.70, 3,599.96 and 1,429.70 is: 1,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.70 : 3,599.96 = 1,429.70 : x
  2. Step 2: Convert to fraction form
    2,608.70/3,599.96 = 1,429.70/x
  3. Step 3: Cross multiply
    2,608.70x = 3,599.96 × 1,429.70
  4. Step 4: Simplify right side
    2,608.70x = 5,146,862.81
  5. Step 5: Solve for x
    x = 5,146,862.81/2,608.70
  6. Step 6: Final answer
    x = 1,972.96

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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.