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Finding the Fourth Proportional to 3,276.12, 4,520.96 and 1,784

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Solution

The fourth proportional to 3,276.12, 4,520.96 and 1,784 is: 2,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.12 : 4,520.96 = 1,784 : x
  2. Step 2: Convert to fraction form
    3,276.12/4,520.96 = 1,784/x
  3. Step 3: Cross multiply
    3,276.12x = 4,520.96 × 1,784
  4. Step 4: Simplify right side
    3,276.12x = 8,065,392.64
  5. Step 5: Solve for x
    x = 8,065,392.64/3,276.12
  6. Step 6: Final answer
    x = 2,461.87

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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.