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Finding the Fourth Proportional to 2,298.36, 3,447.24 and 912.05

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Solution

The fourth proportional to 2,298.36, 3,447.24 and 912.05 is: 1,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.36 : 3,447.24 = 912.05 : x
  2. Step 2: Convert to fraction form
    2,298.36/3,447.24 = 912.05/x
  3. Step 3: Cross multiply
    2,298.36x = 3,447.24 × 912.05
  4. Step 4: Simplify right side
    2,298.36x = 3,144,055.24
  5. Step 5: Solve for x
    x = 3,144,055.24/2,298.36
  6. Step 6: Final answer
    x = 1,367.96

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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.