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Finding the Fourth Proportional to 2,714.48, 4,067.52 and 1,480.64

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Solution

The fourth proportional to 2,714.48, 4,067.52 and 1,480.64 is: 2,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.48 : 4,067.52 = 1,480.64 : x
  2. Step 2: Convert to fraction form
    2,714.48/4,067.52 = 1,480.64/x
  3. Step 3: Cross multiply
    2,714.48x = 4,067.52 × 1,480.64
  4. Step 4: Simplify right side
    2,714.48x = 6,022,532.81
  5. Step 5: Solve for x
    x = 6,022,532.81/2,714.48
  6. Step 6: Final answer
    x = 2,218.67

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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.