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Finding the Fourth Proportional to 3,056.03, 4,584.80 and 864.78

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Solution

The fourth proportional to 3,056.03, 4,584.80 and 864.78 is: 1,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.03 : 4,584.80 = 864.78 : x
  2. Step 2: Convert to fraction form
    3,056.03/4,584.80 = 864.78/x
  3. Step 3: Cross multiply
    3,056.03x = 4,584.80 × 864.78
  4. Step 4: Simplify right side
    3,056.03x = 3,964,828.31
  5. Step 5: Solve for x
    x = 3,964,828.31/3,056.03
  6. Step 6: Final answer
    x = 1,297.38

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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.