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Finding the Fourth Proportional to 2,178.18, 3,268.15 and 879.75

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Solution

The fourth proportional to 2,178.18, 3,268.15 and 879.75 is: 1,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.18 : 3,268.15 = 879.75 : x
  2. Step 2: Convert to fraction form
    2,178.18/3,268.15 = 879.75/x
  3. Step 3: Cross multiply
    2,178.18x = 3,268.15 × 879.75
  4. Step 4: Simplify right side
    2,178.18x = 2,875,152.76
  5. Step 5: Solve for x
    x = 2,875,152.76/2,178.18
  6. Step 6: Final answer
    x = 1,319.98

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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.