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Finding the Fourth Proportional to 2,784.15, 4,144.41 and 2,742.62

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Solution

The fourth proportional to 2,784.15, 4,144.41 and 2,742.62 is: 4,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.15 : 4,144.41 = 2,742.62 : x
  2. Step 2: Convert to fraction form
    2,784.15/4,144.41 = 2,742.62/x
  3. Step 3: Cross multiply
    2,784.15x = 4,144.41 × 2,742.62
  4. Step 4: Simplify right side
    2,784.15x = 11,366,521.03
  5. Step 5: Solve for x
    x = 11,366,521.03/2,784.15
  6. Step 6: Final answer
    x = 4,082.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.