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Finding the Fourth Proportional to 3,181.90, 4,774.59 and 1,234.18

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Solution

The fourth proportional to 3,181.90, 4,774.59 and 1,234.18 is: 1,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.90 : 4,774.59 = 1,234.18 : x
  2. Step 2: Convert to fraction form
    3,181.90/4,774.59 = 1,234.18/x
  3. Step 3: Cross multiply
    3,181.90x = 4,774.59 × 1,234.18
  4. Step 4: Simplify right side
    3,181.90x = 5,892,703.49
  5. Step 5: Solve for x
    x = 5,892,703.49/3,181.90
  6. Step 6: Final answer
    x = 1,851.94

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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.