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Finding the Fourth Proportional to 1,970.74, 2,716.29 and 1,380.22

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Solution

The fourth proportional to 1,970.74, 2,716.29 and 1,380.22 is: 1,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.74 : 2,716.29 = 1,380.22 : x
  2. Step 2: Convert to fraction form
    1,970.74/2,716.29 = 1,380.22/x
  3. Step 3: Cross multiply
    1,970.74x = 2,716.29 × 1,380.22
  4. Step 4: Simplify right side
    1,970.74x = 3,749,077.78
  5. Step 5: Solve for x
    x = 3,749,077.78/1,970.74
  6. Step 6: Final answer
    x = 1,902.37

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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.