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Finding the Fourth Proportional to 1,786.02, 2,464.67 and 1,000.09

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Solution

The fourth proportional to 1,786.02, 2,464.67 and 1,000.09 is: 1,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.02 : 2,464.67 = 1,000.09 : x
  2. Step 2: Convert to fraction form
    1,786.02/2,464.67 = 1,000.09/x
  3. Step 3: Cross multiply
    1,786.02x = 2,464.67 × 1,000.09
  4. Step 4: Simplify right side
    1,786.02x = 2,464,874.50
  5. Step 5: Solve for x
    x = 2,464,874.50/1,786.02
  6. Step 6: Final answer
    x = 1,380.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.