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Finding the Fourth Proportional to 1,424.12, 2,133.40 and 805.95

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Solution

The fourth proportional to 1,424.12, 2,133.40 and 805.95 is: 1,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.12 : 2,133.40 = 805.95 : x
  2. Step 2: Convert to fraction form
    1,424.12/2,133.40 = 805.95/x
  3. Step 3: Cross multiply
    1,424.12x = 2,133.40 × 805.95
  4. Step 4: Simplify right side
    1,424.12x = 1,719,413.73
  5. Step 5: Solve for x
    x = 1,719,413.73/1,424.12
  6. Step 6: Final answer
    x = 1,207.35

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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.