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Finding the Fourth Proportional to 2,178.60, 3,269.25 and 880.08

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Solution

The fourth proportional to 2,178.60, 3,269.25 and 880.08 is: 1,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.60 : 3,269.25 = 880.08 : x
  2. Step 2: Convert to fraction form
    2,178.60/3,269.25 = 880.08/x
  3. Step 3: Cross multiply
    2,178.60x = 3,269.25 × 880.08
  4. Step 4: Simplify right side
    2,178.60x = 2,877,201.54
  5. Step 5: Solve for x
    x = 2,877,201.54/2,178.60
  6. Step 6: Final answer
    x = 1,320.67

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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.