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Finding the Fourth Proportional to 2,384.89, 3,289.49 and 2,304.61

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Solution

The fourth proportional to 2,384.89, 3,289.49 and 2,304.61 is: 3,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.89 : 3,289.49 = 2,304.61 : x
  2. Step 2: Convert to fraction form
    2,384.89/3,289.49 = 2,304.61/x
  3. Step 3: Cross multiply
    2,384.89x = 3,289.49 × 2,304.61
  4. Step 4: Simplify right side
    2,384.89x = 7,580,980.03
  5. Step 5: Solve for x
    x = 7,580,980.03/2,384.89
  6. Step 6: Final answer
    x = 3,178.75

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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.