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Finding the Fourth Proportional to 3,182.36, 4,774.16 and 990.99

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Solution

The fourth proportional to 3,182.36, 4,774.16 and 990.99 is: 1,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.36 : 4,774.16 = 990.99 : x
  2. Step 2: Convert to fraction form
    3,182.36/4,774.16 = 990.99/x
  3. Step 3: Cross multiply
    3,182.36x = 4,774.16 × 990.99
  4. Step 4: Simplify right side
    3,182.36x = 4,731,147.30
  5. Step 5: Solve for x
    x = 4,731,147.30/3,182.36
  6. Step 6: Final answer
    x = 1,486.68

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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.