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Finding the Fourth Proportional to 2,298, 3,448.08 and 1,202.88

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Solution

The fourth proportional to 2,298, 3,448.08 and 1,202.88 is: 1,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298 : 3,448.08 = 1,202.88 : x
  2. Step 2: Convert to fraction form
    2,298/3,448.08 = 1,202.88/x
  3. Step 3: Cross multiply
    2,298x = 3,448.08 × 1,202.88
  4. Step 4: Simplify right side
    2,298x = 4,147,626.47
  5. Step 5: Solve for x
    x = 4,147,626.47/2,298
  6. Step 6: Final answer
    x = 1,804.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.