Home / 1,546.22-2,318.64-723.83

Finding the Fourth Proportional to 1,546.22, 2,318.64 and 723.83

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Solution

The fourth proportional to 1,546.22, 2,318.64 and 723.83 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.22 : 2,318.64 = 723.83 : x
  2. Step 2: Convert to fraction form
    1,546.22/2,318.64 = 723.83/x
  3. Step 3: Cross multiply
    1,546.22x = 2,318.64 × 723.83
  4. Step 4: Simplify right side
    1,546.22x = 1,678,289.60
  5. Step 5: Solve for x
    x = 1,678,289.60/1,546.22
  6. Step 6: Final answer
    x = 1,085.42

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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.