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Finding the Fourth Proportional to 3,188.34, 4,783.14 and 996.60

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Solution

The fourth proportional to 3,188.34, 4,783.14 and 996.60 is: 1,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.34 : 4,783.14 = 996.60 : x
  2. Step 2: Convert to fraction form
    3,188.34/4,783.14 = 996.60/x
  3. Step 3: Cross multiply
    3,188.34x = 4,783.14 × 996.60
  4. Step 4: Simplify right side
    3,188.34x = 4,766,877.32
  5. Step 5: Solve for x
    x = 4,766,877.32/3,188.34
  6. Step 6: Final answer
    x = 1,495.10

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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.