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Finding the Fourth Proportional to 2,298.36, 3,447.98 and 911.42

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Solution

The fourth proportional to 2,298.36, 3,447.98 and 911.42 is: 1,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.36 : 3,447.98 = 911.42 : x
  2. Step 2: Convert to fraction form
    2,298.36/3,447.98 = 911.42/x
  3. Step 3: Cross multiply
    2,298.36x = 3,447.98 × 911.42
  4. Step 4: Simplify right side
    2,298.36x = 3,142,557.93
  5. Step 5: Solve for x
    x = 3,142,557.93/2,298.36
  6. Step 6: Final answer
    x = 1,367.30

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