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Finding the Fourth Proportional to 1,385.16, 2,073.11 and 944.60

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Solution

The fourth proportional to 1,385.16, 2,073.11 and 944.60 is: 1,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.16 : 2,073.11 = 944.60 : x
  2. Step 2: Convert to fraction form
    1,385.16/2,073.11 = 944.60/x
  3. Step 3: Cross multiply
    1,385.16x = 2,073.11 × 944.60
  4. Step 4: Simplify right side
    1,385.16x = 1,958,244.62
  5. Step 5: Solve for x
    x = 1,958,244.62/1,385.16
  6. Step 6: Final answer
    x = 1,413.73

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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.