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Finding the Fourth Proportional to 4,659.98, 6,991.19 and 1,738.31

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Solution

The fourth proportional to 4,659.98, 6,991.19 and 1,738.31 is: 2,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.98 : 6,991.19 = 1,738.31 : x
  2. Step 2: Convert to fraction form
    4,659.98/6,991.19 = 1,738.31/x
  3. Step 3: Cross multiply
    4,659.98x = 6,991.19 × 1,738.31
  4. Step 4: Simplify right side
    4,659.98x = 12,152,877.31
  5. Step 5: Solve for x
    x = 12,152,877.31/4,659.98
  6. Step 6: Final answer
    x = 2,607.92

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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.