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Finding the Fourth Proportional to 1,300.03, 1,940.06 and 1,161.63

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Solution

The fourth proportional to 1,300.03, 1,940.06 and 1,161.63 is: 1,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.03 : 1,940.06 = 1,161.63 : x
  2. Step 2: Convert to fraction form
    1,300.03/1,940.06 = 1,161.63/x
  3. Step 3: Cross multiply
    1,300.03x = 1,940.06 × 1,161.63
  4. Step 4: Simplify right side
    1,300.03x = 2,253,634.80
  5. Step 5: Solve for x
    x = 2,253,634.80/1,300.03
  6. Step 6: Final answer
    x = 1,733.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.