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Finding the Fourth Proportional to 2,656, 3,665.69 and 1,608.67

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Solution

The fourth proportional to 2,656, 3,665.69 and 1,608.67 is: 2,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656 : 3,665.69 = 1,608.67 : x
  2. Step 2: Convert to fraction form
    2,656/3,665.69 = 1,608.67/x
  3. Step 3: Cross multiply
    2,656x = 3,665.69 × 1,608.67
  4. Step 4: Simplify right side
    2,656x = 5,896,885.53
  5. Step 5: Solve for x
    x = 5,896,885.53/2,656
  6. Step 6: Final answer
    x = 2,220.21

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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.