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Finding the Fourth Proportional to 1,553.67, 2,141.60 and 1,221.67

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Solution

The fourth proportional to 1,553.67, 2,141.60 and 1,221.67 is: 1,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.67 : 2,141.60 = 1,221.67 : x
  2. Step 2: Convert to fraction form
    1,553.67/2,141.60 = 1,221.67/x
  3. Step 3: Cross multiply
    1,553.67x = 2,141.60 × 1,221.67
  4. Step 4: Simplify right side
    1,553.67x = 2,616,328.47
  5. Step 5: Solve for x
    x = 2,616,328.47/1,553.67
  6. Step 6: Final answer
    x = 1,683.97

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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.