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Finding the Fourth Proportional to 3,234.47, 4,461.90 and 2,054.30

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Solution

The fourth proportional to 3,234.47, 4,461.90 and 2,054.30 is: 2,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.47 : 4,461.90 = 2,054.30 : x
  2. Step 2: Convert to fraction form
    3,234.47/4,461.90 = 2,054.30/x
  3. Step 3: Cross multiply
    3,234.47x = 4,461.90 × 2,054.30
  4. Step 4: Simplify right side
    3,234.47x = 9,166,081.17
  5. Step 5: Solve for x
    x = 9,166,081.17/3,234.47
  6. Step 6: Final answer
    x = 2,833.87

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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.