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Finding the Fourth Proportional to 1,380.12, 1,902.60 and 1,101.24

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Solution

The fourth proportional to 1,380.12, 1,902.60 and 1,101.24 is: 1,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.12 : 1,902.60 = 1,101.24 : x
  2. Step 2: Convert to fraction form
    1,380.12/1,902.60 = 1,101.24/x
  3. Step 3: Cross multiply
    1,380.12x = 1,902.60 × 1,101.24
  4. Step 4: Simplify right side
    1,380.12x = 2,095,219.22
  5. Step 5: Solve for x
    x = 2,095,219.22/1,380.12
  6. Step 6: Final answer
    x = 1,518.14

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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.