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Finding the Fourth Proportional to 3,055.78, 4,583.39 and 864.46

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Solution

The fourth proportional to 3,055.78, 4,583.39 and 864.46 is: 1,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.78 : 4,583.39 = 864.46 : x
  2. Step 2: Convert to fraction form
    3,055.78/4,583.39 = 864.46/x
  3. Step 3: Cross multiply
    3,055.78x = 4,583.39 × 864.46
  4. Step 4: Simplify right side
    3,055.78x = 3,962,134.40
  5. Step 5: Solve for x
    x = 3,962,134.40/3,055.78
  6. Step 6: Final answer
    x = 1,296.61

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Why These Related Problems?

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