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Finding the Fourth Proportional to 2,211.67, 3,315.45 and 978.42

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Solution

The fourth proportional to 2,211.67, 3,315.45 and 978.42 is: 1,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.67 : 3,315.45 = 978.42 : x
  2. Step 2: Convert to fraction form
    2,211.67/3,315.45 = 978.42/x
  3. Step 3: Cross multiply
    2,211.67x = 3,315.45 × 978.42
  4. Step 4: Simplify right side
    2,211.67x = 3,243,902.59
  5. Step 5: Solve for x
    x = 3,243,902.59/2,211.67
  6. Step 6: Final answer
    x = 1,466.72

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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.