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Finding the Fourth Proportional to 2,569.97, 3,546.71 and 1,450.96

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Solution

The fourth proportional to 2,569.97, 3,546.71 and 1,450.96 is: 2,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.97 : 3,546.71 = 1,450.96 : x
  2. Step 2: Convert to fraction form
    2,569.97/3,546.71 = 1,450.96/x
  3. Step 3: Cross multiply
    2,569.97x = 3,546.71 × 1,450.96
  4. Step 4: Simplify right side
    2,569.97x = 5,146,134.34
  5. Step 5: Solve for x
    x = 5,146,134.34/2,569.97
  6. Step 6: Final answer
    x = 2,002.41

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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.