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Finding the Fourth Proportional to 2,669.60, 4,006.26 and 938.36

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Solution

The fourth proportional to 2,669.60, 4,006.26 and 938.36 is: 1,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.60 : 4,006.26 = 938.36 : x
  2. Step 2: Convert to fraction form
    2,669.60/4,006.26 = 938.36/x
  3. Step 3: Cross multiply
    2,669.60x = 4,006.26 × 938.36
  4. Step 4: Simplify right side
    2,669.60x = 3,759,314.13
  5. Step 5: Solve for x
    x = 3,759,314.13/2,669.60
  6. Step 6: Final answer
    x = 1,408.19

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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.