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Finding the Fourth Proportional to 1,431.30, 1,974.11 and 1,232.47

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Solution

The fourth proportional to 1,431.30, 1,974.11 and 1,232.47 is: 1,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.30 : 1,974.11 = 1,232.47 : x
  2. Step 2: Convert to fraction form
    1,431.30/1,974.11 = 1,232.47/x
  3. Step 3: Cross multiply
    1,431.30x = 1,974.11 × 1,232.47
  4. Step 4: Simplify right side
    1,431.30x = 2,433,032.28
  5. Step 5: Solve for x
    x = 2,433,032.28/1,431.30
  6. Step 6: Final answer
    x = 1,699.88

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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.