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Finding the Fourth Proportional to 1,419.60, 1,959.21 and 1,374.24

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Solution

The fourth proportional to 1,419.60, 1,959.21 and 1,374.24 is: 1,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.60 : 1,959.21 = 1,374.24 : x
  2. Step 2: Convert to fraction form
    1,419.60/1,959.21 = 1,374.24/x
  3. Step 3: Cross multiply
    1,419.60x = 1,959.21 × 1,374.24
  4. Step 4: Simplify right side
    1,419.60x = 2,692,424.75
  5. Step 5: Solve for x
    x = 2,692,424.75/1,419.60
  6. Step 6: Final answer
    x = 1,896.61

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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.