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Finding the Fourth Proportional to 2,546.90, 3,814.14 and 1,764.66

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Solution

The fourth proportional to 2,546.90, 3,814.14 and 1,764.66 is: 2,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.90 : 3,814.14 = 1,764.66 : x
  2. Step 2: Convert to fraction form
    2,546.90/3,814.14 = 1,764.66/x
  3. Step 3: Cross multiply
    2,546.90x = 3,814.14 × 1,764.66
  4. Step 4: Simplify right side
    2,546.90x = 6,730,660.29
  5. Step 5: Solve for x
    x = 6,730,660.29/2,546.90
  6. Step 6: Final answer
    x = 2,642.69

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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.