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Finding the Fourth Proportional to 2,704.93, 4,057.82 and 973.96

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Solution

The fourth proportional to 2,704.93, 4,057.82 and 973.96 is: 1,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.93 : 4,057.82 = 973.96 : x
  2. Step 2: Convert to fraction form
    2,704.93/4,057.82 = 973.96/x
  3. Step 3: Cross multiply
    2,704.93x = 4,057.82 × 973.96
  4. Step 4: Simplify right side
    2,704.93x = 3,952,149.50
  5. Step 5: Solve for x
    x = 3,952,149.50/2,704.93
  6. Step 6: Final answer
    x = 1,461.09

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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.