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Finding the Fourth Proportional to 1,611.52, 2,412.06 and 879.28

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Solution

The fourth proportional to 1,611.52, 2,412.06 and 879.28 is: 1,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.52 : 2,412.06 = 879.28 : x
  2. Step 2: Convert to fraction form
    1,611.52/2,412.06 = 879.28/x
  3. Step 3: Cross multiply
    1,611.52x = 2,412.06 × 879.28
  4. Step 4: Simplify right side
    1,611.52x = 2,120,876.12
  5. Step 5: Solve for x
    x = 2,120,876.12/1,611.52
  6. Step 6: Final answer
    x = 1,316.07

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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.