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Finding the Fourth Proportional to 2,748.64, 3,790.23 and 2,078.02

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Solution

The fourth proportional to 2,748.64, 3,790.23 and 2,078.02 is: 2,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.64 : 3,790.23 = 2,078.02 : x
  2. Step 2: Convert to fraction form
    2,748.64/3,790.23 = 2,078.02/x
  3. Step 3: Cross multiply
    2,748.64x = 3,790.23 × 2,078.02
  4. Step 4: Simplify right side
    2,748.64x = 7,876,173.74
  5. Step 5: Solve for x
    x = 7,876,173.74/2,748.64
  6. Step 6: Final answer
    x = 2,865.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.