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Finding the Fourth Proportional to 2,748.64, 4,121.06 and 1,451.02

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Solution

The fourth proportional to 2,748.64, 4,121.06 and 1,451.02 is: 2,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.64 : 4,121.06 = 1,451.02 : x
  2. Step 2: Convert to fraction form
    2,748.64/4,121.06 = 1,451.02/x
  3. Step 3: Cross multiply
    2,748.64x = 4,121.06 × 1,451.02
  4. Step 4: Simplify right side
    2,748.64x = 5,979,740.48
  5. Step 5: Solve for x
    x = 5,979,740.48/2,748.64
  6. Step 6: Final answer
    x = 2,175.53

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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.