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Finding the Fourth Proportional to 2,569.61, 3,546.22 and 1,450.14

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Solution

The fourth proportional to 2,569.61, 3,546.22 and 1,450.14 is: 2,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.61 : 3,546.22 = 1,450.14 : x
  2. Step 2: Convert to fraction form
    2,569.61/3,546.22 = 1,450.14/x
  3. Step 3: Cross multiply
    2,569.61x = 3,546.22 × 1,450.14
  4. Step 4: Simplify right side
    2,569.61x = 5,142,515.47
  5. Step 5: Solve for x
    x = 5,142,515.47/2,569.61
  6. Step 6: Final answer
    x = 2,001.28

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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.