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Finding the Fourth Proportional to 2,298.05, 3,447.09 and 911.72

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Solution

The fourth proportional to 2,298.05, 3,447.09 and 911.72 is: 1,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.05 : 3,447.09 = 911.72 : x
  2. Step 2: Convert to fraction form
    2,298.05/3,447.09 = 911.72/x
  3. Step 3: Cross multiply
    2,298.05x = 3,447.09 × 911.72
  4. Step 4: Simplify right side
    2,298.05x = 3,142,763.66
  5. Step 5: Solve for x
    x = 3,142,763.66/2,298.05
  6. Step 6: Final answer
    x = 1,367.58

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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.