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Finding the Fourth Proportional to 4,051.64, 6,078.48 and 1,278.20

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Solution

The fourth proportional to 4,051.64, 6,078.48 and 1,278.20 is: 1,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.64 : 6,078.48 = 1,278.20 : x
  2. Step 2: Convert to fraction form
    4,051.64/6,078.48 = 1,278.20/x
  3. Step 3: Cross multiply
    4,051.64x = 6,078.48 × 1,278.20
  4. Step 4: Simplify right side
    4,051.64x = 7,769,513.14
  5. Step 5: Solve for x
    x = 7,769,513.14/4,051.64
  6. Step 6: Final answer
    x = 1,917.62

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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.