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Finding the Fourth Proportional to 2,300.06, 3,447.05 and 912.63

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Solution

The fourth proportional to 2,300.06, 3,447.05 and 912.63 is: 1,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.06 : 3,447.05 = 912.63 : x
  2. Step 2: Convert to fraction form
    2,300.06/3,447.05 = 912.63/x
  3. Step 3: Cross multiply
    2,300.06x = 3,447.05 × 912.63
  4. Step 4: Simplify right side
    2,300.06x = 3,145,889.60
  5. Step 5: Solve for x
    x = 3,145,889.60/2,300.06
  6. Step 6: Final answer
    x = 1,367.74

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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.