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Finding the Fourth Proportional to 1,300.05, 1,959.62 and 1,224.77

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Solution

The fourth proportional to 1,300.05, 1,959.62 and 1,224.77 is: 1,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.05 : 1,959.62 = 1,224.77 : x
  2. Step 2: Convert to fraction form
    1,300.05/1,959.62 = 1,224.77/x
  3. Step 3: Cross multiply
    1,300.05x = 1,959.62 × 1,224.77
  4. Step 4: Simplify right side
    1,300.05x = 2,400,067.87
  5. Step 5: Solve for x
    x = 2,400,067.87/1,300.05
  6. Step 6: Final answer
    x = 1,846.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.