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Finding the Fourth Proportional to 2,730.96, 4,097.44 and 999.68

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Solution

The fourth proportional to 2,730.96, 4,097.44 and 999.68 is: 1,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.96 : 4,097.44 = 999.68 : x
  2. Step 2: Convert to fraction form
    2,730.96/4,097.44 = 999.68/x
  3. Step 3: Cross multiply
    2,730.96x = 4,097.44 × 999.68
  4. Step 4: Simplify right side
    2,730.96x = 4,096,128.82
  5. Step 5: Solve for x
    x = 4,096,128.82/2,730.96
  6. Step 6: Final answer
    x = 1,499.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.