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Finding the Fourth Proportional to 2,894.59, 3,993.23 and 1,714.98

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Solution

The fourth proportional to 2,894.59, 3,993.23 and 1,714.98 is: 2,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.59 : 3,993.23 = 1,714.98 : x
  2. Step 2: Convert to fraction form
    2,894.59/3,993.23 = 1,714.98/x
  3. Step 3: Cross multiply
    2,894.59x = 3,993.23 × 1,714.98
  4. Step 4: Simplify right side
    2,894.59x = 6,848,309.59
  5. Step 5: Solve for x
    x = 6,848,309.59/2,894.59
  6. Step 6: Final answer
    x = 2,365.90

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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.