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Finding the Fourth Proportional to 1,681.22, 2,522.07 and 448.67

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Solution

The fourth proportional to 1,681.22, 2,522.07 and 448.67 is: 673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.22 : 2,522.07 = 448.67 : x
  2. Step 2: Convert to fraction form
    1,681.22/2,522.07 = 448.67/x
  3. Step 3: Cross multiply
    1,681.22x = 2,522.07 × 448.67
  4. Step 4: Simplify right side
    1,681.22x = 1,131,583.45
  5. Step 5: Solve for x
    x = 1,131,583.45/1,681.22
  6. Step 6: Final answer
    x = 673.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.