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Finding the Fourth Proportional to 1,380.49, 2,065.78 and 1,014.37

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Solution

The fourth proportional to 1,380.49, 2,065.78 and 1,014.37 is: 1,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.49 : 2,065.78 = 1,014.37 : x
  2. Step 2: Convert to fraction form
    1,380.49/2,065.78 = 1,014.37/x
  3. Step 3: Cross multiply
    1,380.49x = 2,065.78 × 1,014.37
  4. Step 4: Simplify right side
    1,380.49x = 2,095,465.26
  5. Step 5: Solve for x
    x = 2,095,465.26/1,380.49
  6. Step 6: Final answer
    x = 1,517.91

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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.