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Finding the Fourth Proportional to 3,181.35, 4,771.41 and 990.10

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Solution

The fourth proportional to 3,181.35, 4,771.41 and 990.10 is: 1,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.35 : 4,771.41 = 990.10 : x
  2. Step 2: Convert to fraction form
    3,181.35/4,771.41 = 990.10/x
  3. Step 3: Cross multiply
    3,181.35x = 4,771.41 × 990.10
  4. Step 4: Simplify right side
    3,181.35x = 4,724,173.04
  5. Step 5: Solve for x
    x = 4,724,173.04/3,181.35
  6. Step 6: Final answer
    x = 1,484.96

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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.