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Finding the Fourth Proportional to 3,190.35, 4,785.12 and 999.30

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Solution

The fourth proportional to 3,190.35, 4,785.12 and 999.30 is: 1,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.35 : 4,785.12 = 999.30 : x
  2. Step 2: Convert to fraction form
    3,190.35/4,785.12 = 999.30/x
  3. Step 3: Cross multiply
    3,190.35x = 4,785.12 × 999.30
  4. Step 4: Simplify right side
    3,190.35x = 4,781,770.42
  5. Step 5: Solve for x
    x = 4,781,770.42/3,190.35
  6. Step 6: Final answer
    x = 1,498.82

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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.