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Finding the Fourth Proportional to 2,569.71, 3,546.23 and 1,450.69

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Solution

The fourth proportional to 2,569.71, 3,546.23 and 1,450.69 is: 2,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.71 : 3,546.23 = 1,450.69 : x
  2. Step 2: Convert to fraction form
    2,569.71/3,546.23 = 1,450.69/x
  3. Step 3: Cross multiply
    2,569.71x = 3,546.23 × 1,450.69
  4. Step 4: Simplify right side
    2,569.71x = 5,144,480.40
  5. Step 5: Solve for x
    x = 5,144,480.40/2,569.71
  6. Step 6: Final answer
    x = 2,001.97

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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.