Home / 2,097.96-3,142.62-1,000.68

Finding the Fourth Proportional to 2,097.96, 3,142.62 and 1,000.68

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Solution

The fourth proportional to 2,097.96, 3,142.62 and 1,000.68 is: 1,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.96 : 3,142.62 = 1,000.68 : x
  2. Step 2: Convert to fraction form
    2,097.96/3,142.62 = 1,000.68/x
  3. Step 3: Cross multiply
    2,097.96x = 3,142.62 × 1,000.68
  4. Step 4: Simplify right side
    2,097.96x = 3,144,756.98
  5. Step 5: Solve for x
    x = 3,144,756.98/2,097.96
  6. Step 6: Final answer
    x = 1,498.96

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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.