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Finding the Fourth Proportional to 2,669.85, 4,006.53 and 938.46

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Solution

The fourth proportional to 2,669.85, 4,006.53 and 938.46 is: 1,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.85 : 4,006.53 = 938.46 : x
  2. Step 2: Convert to fraction form
    2,669.85/4,006.53 = 938.46/x
  3. Step 3: Cross multiply
    2,669.85x = 4,006.53 × 938.46
  4. Step 4: Simplify right side
    2,669.85x = 3,759,968.14
  5. Step 5: Solve for x
    x = 3,759,968.14/2,669.85
  6. Step 6: Final answer
    x = 1,408.31

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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.