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Finding the Fourth Proportional to 2,298.35, 3,448.07 and 654.92

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Solution

The fourth proportional to 2,298.35, 3,448.07 and 654.92 is: 982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.35 : 3,448.07 = 654.92 : x
  2. Step 2: Convert to fraction form
    2,298.35/3,448.07 = 654.92/x
  3. Step 3: Cross multiply
    2,298.35x = 3,448.07 × 654.92
  4. Step 4: Simplify right side
    2,298.35x = 2,258,218.62
  5. Step 5: Solve for x
    x = 2,258,218.62/2,298.35
  6. Step 6: Final answer
    x = 982.54

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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.