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Finding the Fourth Proportional to 2,885.25, 4,321.76 and 2,784.21

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Solution

The fourth proportional to 2,885.25, 4,321.76 and 2,784.21 is: 4,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.25 : 4,321.76 = 2,784.21 : x
  2. Step 2: Convert to fraction form
    2,885.25/4,321.76 = 2,784.21/x
  3. Step 3: Cross multiply
    2,885.25x = 4,321.76 × 2,784.21
  4. Step 4: Simplify right side
    2,885.25x = 12,032,673.49
  5. Step 5: Solve for x
    x = 12,032,673.49/2,885.25
  6. Step 6: Final answer
    x = 4,170.41

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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.