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Finding the Fourth Proportional to 1,393.83, 1,921.89 and 1,309.08

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Solution

The fourth proportional to 1,393.83, 1,921.89 and 1,309.08 is: 1,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.83 : 1,921.89 = 1,309.08 : x
  2. Step 2: Convert to fraction form
    1,393.83/1,921.89 = 1,309.08/x
  3. Step 3: Cross multiply
    1,393.83x = 1,921.89 × 1,309.08
  4. Step 4: Simplify right side
    1,393.83x = 2,515,907.76
  5. Step 5: Solve for x
    x = 2,515,907.76/1,393.83
  6. Step 6: Final answer
    x = 1,805.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.