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Finding the Fourth Proportional to 4,178.32, 6,268.56 and 2,230

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Solution

The fourth proportional to 4,178.32, 6,268.56 and 2,230 is: 3,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.32 : 6,268.56 = 2,230 : x
  2. Step 2: Convert to fraction form
    4,178.32/6,268.56 = 2,230/x
  3. Step 3: Cross multiply
    4,178.32x = 6,268.56 × 2,230
  4. Step 4: Simplify right side
    4,178.32x = 13,978,888.80
  5. Step 5: Solve for x
    x = 13,978,888.80/4,178.32
  6. Step 6: Final answer
    x = 3,345.58

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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.