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Finding the Fourth Proportional to 3,238.90, 4,854.90 and 1,677.34

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Solution

The fourth proportional to 3,238.90, 4,854.90 and 1,677.34 is: 2,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.90 : 4,854.90 = 1,677.34 : x
  2. Step 2: Convert to fraction form
    3,238.90/4,854.90 = 1,677.34/x
  3. Step 3: Cross multiply
    3,238.90x = 4,854.90 × 1,677.34
  4. Step 4: Simplify right side
    3,238.90x = 8,143,317.97
  5. Step 5: Solve for x
    x = 8,143,317.97/3,238.90
  6. Step 6: Final answer
    x = 2,514.22

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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.