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Finding the Fourth Proportional to 1,378.53, 1,902.41 and 1,080.15

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Solution

The fourth proportional to 1,378.53, 1,902.41 and 1,080.15 is: 1,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.53 : 1,902.41 = 1,080.15 : x
  2. Step 2: Convert to fraction form
    1,378.53/1,902.41 = 1,080.15/x
  3. Step 3: Cross multiply
    1,378.53x = 1,902.41 × 1,080.15
  4. Step 4: Simplify right side
    1,378.53x = 2,054,882.76
  5. Step 5: Solve for x
    x = 2,054,882.76/1,378.53
  6. Step 6: Final answer
    x = 1,490.63

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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.