Home / 1,821.36-2,732.46-522.81

Finding the Fourth Proportional to 1,821.36, 2,732.46 and 522.81

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Solution

The fourth proportional to 1,821.36, 2,732.46 and 522.81 is: 784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.36 : 2,732.46 = 522.81 : x
  2. Step 2: Convert to fraction form
    1,821.36/2,732.46 = 522.81/x
  3. Step 3: Cross multiply
    1,821.36x = 2,732.46 × 522.81
  4. Step 4: Simplify right side
    1,821.36x = 1,428,557.41
  5. Step 5: Solve for x
    x = 1,428,557.41/1,821.36
  6. Step 6: Final answer
    x = 784.34

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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.