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Finding the Fourth Proportional to 1,438.86, 1,985.81 and 879.21

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Solution

The fourth proportional to 1,438.86, 1,985.81 and 879.21 is: 1,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.86 : 1,985.81 = 879.21 : x
  2. Step 2: Convert to fraction form
    1,438.86/1,985.81 = 879.21/x
  3. Step 3: Cross multiply
    1,438.86x = 1,985.81 × 879.21
  4. Step 4: Simplify right side
    1,438.86x = 1,745,939.61
  5. Step 5: Solve for x
    x = 1,745,939.61/1,438.86
  6. Step 6: Final answer
    x = 1,213.42

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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.