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Finding the Fourth Proportional to 2,939.09, 4,402.15 and 1,782.41

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Solution

The fourth proportional to 2,939.09, 4,402.15 and 1,782.41 is: 2,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.09 : 4,402.15 = 1,782.41 : x
  2. Step 2: Convert to fraction form
    2,939.09/4,402.15 = 1,782.41/x
  3. Step 3: Cross multiply
    2,939.09x = 4,402.15 × 1,782.41
  4. Step 4: Simplify right side
    2,939.09x = 7,846,409.71
  5. Step 5: Solve for x
    x = 7,846,409.71/2,939.09
  6. Step 6: Final answer
    x = 2,669.68

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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.