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Finding the Fourth Proportional to 3,056.14, 4,584.45 and 864.89

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Solution

The fourth proportional to 3,056.14, 4,584.45 and 864.89 is: 1,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.14 : 4,584.45 = 864.89 : x
  2. Step 2: Convert to fraction form
    3,056.14/4,584.45 = 864.89/x
  3. Step 3: Cross multiply
    3,056.14x = 4,584.45 × 864.89
  4. Step 4: Simplify right side
    3,056.14x = 3,965,044.96
  5. Step 5: Solve for x
    x = 3,965,044.96/3,056.14
  6. Step 6: Final answer
    x = 1,297.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.