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Finding the Fourth Proportional to 3,055.69, 4,582.88 and 863.83

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Solution

The fourth proportional to 3,055.69, 4,582.88 and 863.83 is: 1,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.69 : 4,582.88 = 863.83 : x
  2. Step 2: Convert to fraction form
    3,055.69/4,582.88 = 863.83/x
  3. Step 3: Cross multiply
    3,055.69x = 4,582.88 × 863.83
  4. Step 4: Simplify right side
    3,055.69x = 3,958,802.00
  5. Step 5: Solve for x
    x = 3,958,802.00/3,055.69
  6. Step 6: Final answer
    x = 1,295.55

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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.