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Finding the Fourth Proportional to 2,669.58, 4,004.91 and 938.34

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Solution

The fourth proportional to 2,669.58, 4,004.91 and 938.34 is: 1,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.58 : 4,004.91 = 938.34 : x
  2. Step 2: Convert to fraction form
    2,669.58/4,004.91 = 938.34/x
  3. Step 3: Cross multiply
    2,669.58x = 4,004.91 × 938.34
  4. Step 4: Simplify right side
    2,669.58x = 3,757,967.25
  5. Step 5: Solve for x
    x = 3,757,967.25/2,669.58
  6. Step 6: Final answer
    x = 1,407.70

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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.