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Finding the Fourth Proportional to 2,017.88, 3,027.31 and 847.24

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Solution

The fourth proportional to 2,017.88, 3,027.31 and 847.24 is: 1,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.88 : 3,027.31 = 847.24 : x
  2. Step 2: Convert to fraction form
    2,017.88/3,027.31 = 847.24/x
  3. Step 3: Cross multiply
    2,017.88x = 3,027.31 × 847.24
  4. Step 4: Simplify right side
    2,017.88x = 2,564,858.12
  5. Step 5: Solve for x
    x = 2,564,858.12/2,017.88
  6. Step 6: Final answer
    x = 1,271.07

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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.