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Finding the Fourth Proportional to 1,380.42, 1,904.76 and 1,101.42

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Solution

The fourth proportional to 1,380.42, 1,904.76 and 1,101.42 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.42 : 1,904.76 = 1,101.42 : x
  2. Step 2: Convert to fraction form
    1,380.42/1,904.76 = 1,101.42/x
  3. Step 3: Cross multiply
    1,380.42x = 1,904.76 × 1,101.42
  4. Step 4: Simplify right side
    1,380.42x = 2,097,940.76
  5. Step 5: Solve for x
    x = 2,097,940.76/1,380.42
  6. Step 6: Final answer
    x = 1,519.78

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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.