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Finding the Fourth Proportional to 2,608.16, 3,599.28 and 1,429.25

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Solution

The fourth proportional to 2,608.16, 3,599.28 and 1,429.25 is: 1,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.16 : 3,599.28 = 1,429.25 : x
  2. Step 2: Convert to fraction form
    2,608.16/3,599.28 = 1,429.25/x
  3. Step 3: Cross multiply
    2,608.16x = 3,599.28 × 1,429.25
  4. Step 4: Simplify right side
    2,608.16x = 5,144,252.94
  5. Step 5: Solve for x
    x = 5,144,252.94/2,608.16
  6. Step 6: Final answer
    x = 1,972.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.