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Finding the Fourth Proportional to 3,276.96, 4,522.25 and 1,784.89

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Solution

The fourth proportional to 3,276.96, 4,522.25 and 1,784.89 is: 2,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.96 : 4,522.25 = 1,784.89 : x
  2. Step 2: Convert to fraction form
    3,276.96/4,522.25 = 1,784.89/x
  3. Step 3: Cross multiply
    3,276.96x = 4,522.25 × 1,784.89
  4. Step 4: Simplify right side
    3,276.96x = 8,071,718.88
  5. Step 5: Solve for x
    x = 8,071,718.88/3,276.96
  6. Step 6: Final answer
    x = 2,463.17

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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.