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Finding the Fourth Proportional to 3,255.41, 4,883.25 and 946.91

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Solution

The fourth proportional to 3,255.41, 4,883.25 and 946.91 is: 1,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.41 : 4,883.25 = 946.91 : x
  2. Step 2: Convert to fraction form
    3,255.41/4,883.25 = 946.91/x
  3. Step 3: Cross multiply
    3,255.41x = 4,883.25 × 946.91
  4. Step 4: Simplify right side
    3,255.41x = 4,623,998.26
  5. Step 5: Solve for x
    x = 4,623,998.26/3,255.41
  6. Step 6: Final answer
    x = 1,420.40

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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.