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Finding the Fourth Proportional to 1,421.72, 1,961.23 and 978.86

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Solution

The fourth proportional to 1,421.72, 1,961.23 and 978.86 is: 1,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.72 : 1,961.23 = 978.86 : x
  2. Step 2: Convert to fraction form
    1,421.72/1,961.23 = 978.86/x
  3. Step 3: Cross multiply
    1,421.72x = 1,961.23 × 978.86
  4. Step 4: Simplify right side
    1,421.72x = 1,919,757.34
  5. Step 5: Solve for x
    x = 1,919,757.34/1,421.72
  6. Step 6: Final answer
    x = 1,350.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.