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Finding the Fourth Proportional to 2,128.19, 3,190.98 and 878.40

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Solution

The fourth proportional to 2,128.19, 3,190.98 and 878.40 is: 1,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.19 : 3,190.98 = 878.40 : x
  2. Step 2: Convert to fraction form
    2,128.19/3,190.98 = 878.40/x
  3. Step 3: Cross multiply
    2,128.19x = 3,190.98 × 878.40
  4. Step 4: Simplify right side
    2,128.19x = 2,802,940.88
  5. Step 5: Solve for x
    x = 2,802,940.88/2,128.19
  6. Step 6: Final answer
    x = 1,317.05

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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.