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Finding the Fourth Proportional to 1,431.29, 1,978.30 and 1,320.57

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Solution

The fourth proportional to 1,431.29, 1,978.30 and 1,320.57 is: 1,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.29 : 1,978.30 = 1,320.57 : x
  2. Step 2: Convert to fraction form
    1,431.29/1,978.30 = 1,320.57/x
  3. Step 3: Cross multiply
    1,431.29x = 1,978.30 × 1,320.57
  4. Step 4: Simplify right side
    1,431.29x = 2,612,481.56
  5. Step 5: Solve for x
    x = 2,612,481.56/1,431.29
  6. Step 6: Final answer
    x = 1,825.26

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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.