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Finding the Fourth Proportional to 2,608, 3,599.04 and 1,429.08

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Solution

The fourth proportional to 2,608, 3,599.04 and 1,429.08 is: 1,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608 : 3,599.04 = 1,429.08 : x
  2. Step 2: Convert to fraction form
    2,608/3,599.04 = 1,429.08/x
  3. Step 3: Cross multiply
    2,608x = 3,599.04 × 1,429.08
  4. Step 4: Simplify right side
    2,608x = 5,143,316.08
  5. Step 5: Solve for x
    x = 5,143,316.08/2,608
  6. Step 6: Final answer
    x = 1,972.13

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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.