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Finding the Fourth Proportional to 2,784.03, 4,159.67 and 2,687.12

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Solution

The fourth proportional to 2,784.03, 4,159.67 and 2,687.12 is: 4,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.03 : 4,159.67 = 2,687.12 : x
  2. Step 2: Convert to fraction form
    2,784.03/4,159.67 = 2,687.12/x
  3. Step 3: Cross multiply
    2,784.03x = 4,159.67 × 2,687.12
  4. Step 4: Simplify right side
    2,784.03x = 11,177,532.45
  5. Step 5: Solve for x
    x = 11,177,532.45/2,784.03
  6. Step 6: Final answer
    x = 4,014.88

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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.