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Finding the Fourth Proportional to 2,746.54, 4,116.16 and 2,379.62

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Solution

The fourth proportional to 2,746.54, 4,116.16 and 2,379.62 is: 3,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.54 : 4,116.16 = 2,379.62 : x
  2. Step 2: Convert to fraction form
    2,746.54/4,116.16 = 2,379.62/x
  3. Step 3: Cross multiply
    2,746.54x = 4,116.16 × 2,379.62
  4. Step 4: Simplify right side
    2,746.54x = 9,794,896.66
  5. Step 5: Solve for x
    x = 9,794,896.66/2,746.54
  6. Step 6: Final answer
    x = 3,566.27

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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.