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Finding the Fourth Proportional to 2,784.03, 4,144.22 and 2,742.50

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Solution

The fourth proportional to 2,784.03, 4,144.22 and 2,742.50 is: 4,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.03 : 4,144.22 = 2,742.50 : x
  2. Step 2: Convert to fraction form
    2,784.03/4,144.22 = 2,742.50/x
  3. Step 3: Cross multiply
    2,784.03x = 4,144.22 × 2,742.50
  4. Step 4: Simplify right side
    2,784.03x = 11,365,523.35
  5. Step 5: Solve for x
    x = 11,365,523.35/2,784.03
  6. Step 6: Final answer
    x = 4,082.40

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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.