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Finding the Fourth Proportional to 3,154.41, 4,353.08 and 1,828.88

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Solution

The fourth proportional to 3,154.41, 4,353.08 and 1,828.88 is: 2,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.41 : 4,353.08 = 1,828.88 : x
  2. Step 2: Convert to fraction form
    3,154.41/4,353.08 = 1,828.88/x
  3. Step 3: Cross multiply
    3,154.41x = 4,353.08 × 1,828.88
  4. Step 4: Simplify right side
    3,154.41x = 7,961,260.95
  5. Step 5: Solve for x
    x = 7,961,260.95/3,154.41
  6. Step 6: Final answer
    x = 2,523.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.