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Finding the Fourth Proportional to 2,298.14, 3,447.79 and 654.69

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Solution

The fourth proportional to 2,298.14, 3,447.79 and 654.69 is: 982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.14 : 3,447.79 = 654.69 : x
  2. Step 2: Convert to fraction form
    2,298.14/3,447.79 = 654.69/x
  3. Step 3: Cross multiply
    2,298.14x = 3,447.79 × 654.69
  4. Step 4: Simplify right side
    2,298.14x = 2,257,233.64
  5. Step 5: Solve for x
    x = 2,257,233.64/2,298.14
  6. Step 6: Final answer
    x = 982.20

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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.