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Finding the Fourth Proportional to 3,129.34, 4,694.07 and 1,048.96

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Solution

The fourth proportional to 3,129.34, 4,694.07 and 1,048.96 is: 1,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.34 : 4,694.07 = 1,048.96 : x
  2. Step 2: Convert to fraction form
    3,129.34/4,694.07 = 1,048.96/x
  3. Step 3: Cross multiply
    3,129.34x = 4,694.07 × 1,048.96
  4. Step 4: Simplify right side
    3,129.34x = 4,923,891.67
  5. Step 5: Solve for x
    x = 4,923,891.67/3,129.34
  6. Step 6: Final answer
    x = 1,573.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.