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Finding the Fourth Proportional to 2,170.24, 2,994.40 and 1,286

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Solution

The fourth proportional to 2,170.24, 2,994.40 and 1,286 is: 1,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.24 : 2,994.40 = 1,286 : x
  2. Step 2: Convert to fraction form
    2,170.24/2,994.40 = 1,286/x
  3. Step 3: Cross multiply
    2,170.24x = 2,994.40 × 1,286
  4. Step 4: Simplify right side
    2,170.24x = 3,850,798.40
  5. Step 5: Solve for x
    x = 3,850,798.40/2,170.24
  6. Step 6: Final answer
    x = 1,774.37

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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.