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Finding the Fourth Proportional to 2,846.36, 4,267.04 and 997.18

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Solution

The fourth proportional to 2,846.36, 4,267.04 and 997.18 is: 1,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.36 : 4,267.04 = 997.18 : x
  2. Step 2: Convert to fraction form
    2,846.36/4,267.04 = 997.18/x
  3. Step 3: Cross multiply
    2,846.36x = 4,267.04 × 997.18
  4. Step 4: Simplify right side
    2,846.36x = 4,255,006.95
  5. Step 5: Solve for x
    x = 4,255,006.95/2,846.36
  6. Step 6: Final answer
    x = 1,494.89

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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.