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Finding the Fourth Proportional to 3,117.89, 4,676.84 and 1,800.43

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Solution

The fourth proportional to 3,117.89, 4,676.84 and 1,800.43 is: 2,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.89 : 4,676.84 = 1,800.43 : x
  2. Step 2: Convert to fraction form
    3,117.89/4,676.84 = 1,800.43/x
  3. Step 3: Cross multiply
    3,117.89x = 4,676.84 × 1,800.43
  4. Step 4: Simplify right side
    3,117.89x = 8,420,309.10
  5. Step 5: Solve for x
    x = 8,420,309.10/3,117.89
  6. Step 6: Final answer
    x = 2,700.64

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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.