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Finding the Fourth Proportional to 3,190.83, 4,785.90 and 999.60

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Solution

The fourth proportional to 3,190.83, 4,785.90 and 999.60 is: 1,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.83 : 4,785.90 = 999.60 : x
  2. Step 2: Convert to fraction form
    3,190.83/4,785.90 = 999.60/x
  3. Step 3: Cross multiply
    3,190.83x = 4,785.90 × 999.60
  4. Step 4: Simplify right side
    3,190.83x = 4,783,985.64
  5. Step 5: Solve for x
    x = 4,783,985.64/3,190.83
  6. Step 6: Final answer
    x = 1,499.29

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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.