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Finding the Fourth Proportional to 1,394.83, 1,926.30 and 1,207.42

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Solution

The fourth proportional to 1,394.83, 1,926.30 and 1,207.42 is: 1,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.83 : 1,926.30 = 1,207.42 : x
  2. Step 2: Convert to fraction form
    1,394.83/1,926.30 = 1,207.42/x
  3. Step 3: Cross multiply
    1,394.83x = 1,926.30 × 1,207.42
  4. Step 4: Simplify right side
    1,394.83x = 2,325,853.15
  5. Step 5: Solve for x
    x = 2,325,853.15/1,394.83
  6. Step 6: Final answer
    x = 1,667.48

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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.