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Finding the Fourth Proportional to 3,462.71, 4,778.52 and 1,890.82

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Solution

The fourth proportional to 3,462.71, 4,778.52 and 1,890.82 is: 2,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.71 : 4,778.52 = 1,890.82 : x
  2. Step 2: Convert to fraction form
    3,462.71/4,778.52 = 1,890.82/x
  3. Step 3: Cross multiply
    3,462.71x = 4,778.52 × 1,890.82
  4. Step 4: Simplify right side
    3,462.71x = 9,035,321.19
  5. Step 5: Solve for x
    x = 9,035,321.19/3,462.71
  6. Step 6: Final answer
    x = 2,609.32

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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.