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Finding the Fourth Proportional to 3,280.64, 4,527.41 and 1,788.62

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Solution

The fourth proportional to 3,280.64, 4,527.41 and 1,788.62 is: 2,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.64 : 4,527.41 = 1,788.62 : x
  2. Step 2: Convert to fraction form
    3,280.64/4,527.41 = 1,788.62/x
  3. Step 3: Cross multiply
    3,280.64x = 4,527.41 × 1,788.62
  4. Step 4: Simplify right side
    3,280.64x = 8,097,784.49
  5. Step 5: Solve for x
    x = 8,097,784.49/3,280.64
  6. Step 6: Final answer
    x = 2,468.36

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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.