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Finding the Fourth Proportional to 2,731.59, 4,094.96 and 999.81

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Solution

The fourth proportional to 2,731.59, 4,094.96 and 999.81 is: 1,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.59 : 4,094.96 = 999.81 : x
  2. Step 2: Convert to fraction form
    2,731.59/4,094.96 = 999.81/x
  3. Step 3: Cross multiply
    2,731.59x = 4,094.96 × 999.81
  4. Step 4: Simplify right side
    2,731.59x = 4,094,176.96
  5. Step 5: Solve for x
    x = 4,094,176.96/2,731.59
  6. Step 6: Final answer
    x = 1,498.83

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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.