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Finding the Fourth Proportional to 1,380.03, 1,902.92 and 937.16

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Solution

The fourth proportional to 1,380.03, 1,902.92 and 937.16 is: 1,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.03 : 1,902.92 = 937.16 : x
  2. Step 2: Convert to fraction form
    1,380.03/1,902.92 = 937.16/x
  3. Step 3: Cross multiply
    1,380.03x = 1,902.92 × 937.16
  4. Step 4: Simplify right side
    1,380.03x = 1,783,340.51
  5. Step 5: Solve for x
    x = 1,783,340.51/1,380.03
  6. Step 6: Final answer
    x = 1,292.25

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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.