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Finding the Fourth Proportional to 1,394.92, 2,092.44 and 817.36

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Solution

The fourth proportional to 1,394.92, 2,092.44 and 817.36 is: 1,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.92 : 2,092.44 = 817.36 : x
  2. Step 2: Convert to fraction form
    1,394.92/2,092.44 = 817.36/x
  3. Step 3: Cross multiply
    1,394.92x = 2,092.44 × 817.36
  4. Step 4: Simplify right side
    1,394.92x = 1,710,276.76
  5. Step 5: Solve for x
    x = 1,710,276.76/1,394.92
  6. Step 6: Final answer
    x = 1,226.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.