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Finding the Fourth Proportional to 1,422.56, 1,970.73 and 1,388.54

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Solution

The fourth proportional to 1,422.56, 1,970.73 and 1,388.54 is: 1,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.56 : 1,970.73 = 1,388.54 : x
  2. Step 2: Convert to fraction form
    1,422.56/1,970.73 = 1,388.54/x
  3. Step 3: Cross multiply
    1,422.56x = 1,970.73 × 1,388.54
  4. Step 4: Simplify right side
    1,422.56x = 2,736,427.58
  5. Step 5: Solve for x
    x = 2,736,427.58/1,422.56
  6. Step 6: Final answer
    x = 1,923.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.