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Finding the Fourth Proportional to 2,608.19, 3,599.25 and 1,429.25

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Solution

The fourth proportional to 2,608.19, 3,599.25 and 1,429.25 is: 1,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.19 : 3,599.25 = 1,429.25 : x
  2. Step 2: Convert to fraction form
    2,608.19/3,599.25 = 1,429.25/x
  3. Step 3: Cross multiply
    2,608.19x = 3,599.25 × 1,429.25
  4. Step 4: Simplify right side
    2,608.19x = 5,144,228.06
  5. Step 5: Solve for x
    x = 5,144,228.06/2,608.19
  6. Step 6: Final answer
    x = 1,972.34

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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.