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Finding the Fourth Proportional to 1,393.83, 1,924.92 and 1,206.42

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Solution

The fourth proportional to 1,393.83, 1,924.92 and 1,206.42 is: 1,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.83 : 1,924.92 = 1,206.42 : x
  2. Step 2: Convert to fraction form
    1,393.83/1,924.92 = 1,206.42/x
  3. Step 3: Cross multiply
    1,393.83x = 1,924.92 × 1,206.42
  4. Step 4: Simplify right side
    1,393.83x = 2,322,261.99
  5. Step 5: Solve for x
    x = 2,322,261.99/1,393.83
  6. Step 6: Final answer
    x = 1,666.10

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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.