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Finding the Fourth Proportional to 1,428.80, 1,971.60 and 1,324.32

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Solution

The fourth proportional to 1,428.80, 1,971.60 and 1,324.32 is: 1,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.80 : 1,971.60 = 1,324.32 : x
  2. Step 2: Convert to fraction form
    1,428.80/1,971.60 = 1,324.32/x
  3. Step 3: Cross multiply
    1,428.80x = 1,971.60 × 1,324.32
  4. Step 4: Simplify right side
    1,428.80x = 2,611,029.31
  5. Step 5: Solve for x
    x = 2,611,029.31/1,428.80
  6. Step 6: Final answer
    x = 1,827.43

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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.