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Finding the Fourth Proportional to 3,276.08, 4,520.91 and 1,784

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Solution

The fourth proportional to 3,276.08, 4,520.91 and 1,784 is: 2,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.08 : 4,520.91 = 1,784 : x
  2. Step 2: Convert to fraction form
    3,276.08/4,520.91 = 1,784/x
  3. Step 3: Cross multiply
    3,276.08x = 4,520.91 × 1,784
  4. Step 4: Simplify right side
    3,276.08x = 8,065,303.44
  5. Step 5: Solve for x
    x = 8,065,303.44/3,276.08
  6. Step 6: Final answer
    x = 2,461.88

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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.