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Finding the Fourth Proportional to 3,056.80, 4,584.52 and 865.03

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Solution

The fourth proportional to 3,056.80, 4,584.52 and 865.03 is: 1,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.80 : 4,584.52 = 865.03 : x
  2. Step 2: Convert to fraction form
    3,056.80/4,584.52 = 865.03/x
  3. Step 3: Cross multiply
    3,056.80x = 4,584.52 × 865.03
  4. Step 4: Simplify right side
    3,056.80x = 3,965,747.34
  5. Step 5: Solve for x
    x = 3,965,747.34/3,056.80
  6. Step 6: Final answer
    x = 1,297.35

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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.