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Finding the Fourth Proportional to 4,078.98, 6,116.46 and 1,305

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Solution

The fourth proportional to 4,078.98, 6,116.46 and 1,305 is: 1,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.98 : 6,116.46 = 1,305 : x
  2. Step 2: Convert to fraction form
    4,078.98/6,116.46 = 1,305/x
  3. Step 3: Cross multiply
    4,078.98x = 6,116.46 × 1,305
  4. Step 4: Simplify right side
    4,078.98x = 7,981,980.30
  5. Step 5: Solve for x
    x = 7,981,980.30/4,078.98
  6. Step 6: Final answer
    x = 1,956.86

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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.