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Finding the Fourth Proportional to 1,440.22, 1,983.36 and 1,374.62

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Solution

The fourth proportional to 1,440.22, 1,983.36 and 1,374.62 is: 1,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.22 : 1,983.36 = 1,374.62 : x
  2. Step 2: Convert to fraction form
    1,440.22/1,983.36 = 1,374.62/x
  3. Step 3: Cross multiply
    1,440.22x = 1,983.36 × 1,374.62
  4. Step 4: Simplify right side
    1,440.22x = 2,726,366.32
  5. Step 5: Solve for x
    x = 2,726,366.32/1,440.22
  6. Step 6: Final answer
    x = 1,893.02

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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.