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Finding the Fourth Proportional to 2,684.41, 4,025.84 and 929.34

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Solution

The fourth proportional to 2,684.41, 4,025.84 and 929.34 is: 1,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.41 : 4,025.84 = 929.34 : x
  2. Step 2: Convert to fraction form
    2,684.41/4,025.84 = 929.34/x
  3. Step 3: Cross multiply
    2,684.41x = 4,025.84 × 929.34
  4. Step 4: Simplify right side
    2,684.41x = 3,741,381.91
  5. Step 5: Solve for x
    x = 3,741,381.91/2,684.41
  6. Step 6: Final answer
    x = 1,393.74

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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.