Home / 1,546.36-2,317.92-723.94

Finding the Fourth Proportional to 1,546.36, 2,317.92 and 723.94

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Solution

The fourth proportional to 1,546.36, 2,317.92 and 723.94 is: 1,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.36 : 2,317.92 = 723.94 : x
  2. Step 2: Convert to fraction form
    1,546.36/2,317.92 = 723.94/x
  3. Step 3: Cross multiply
    1,546.36x = 2,317.92 × 723.94
  4. Step 4: Simplify right side
    1,546.36x = 1,678,026.50
  5. Step 5: Solve for x
    x = 1,678,026.50/1,546.36
  6. Step 6: Final answer
    x = 1,085.15

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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.