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Finding the Fourth Proportional to 1,731.50, 2,390.04 and 1,234.34

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Solution

The fourth proportional to 1,731.50, 2,390.04 and 1,234.34 is: 1,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.50 : 2,390.04 = 1,234.34 : x
  2. Step 2: Convert to fraction form
    1,731.50/2,390.04 = 1,234.34/x
  3. Step 3: Cross multiply
    1,731.50x = 2,390.04 × 1,234.34
  4. Step 4: Simplify right side
    1,731.50x = 2,950,121.97
  5. Step 5: Solve for x
    x = 2,950,121.97/1,731.50
  6. Step 6: Final answer
    x = 1,703.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.