Home / 1,821.42-2,732.10-522.86

Finding the Fourth Proportional to 1,821.42, 2,732.10 and 522.86

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Solution

The fourth proportional to 1,821.42, 2,732.10 and 522.86 is: 784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.42 : 2,732.10 = 522.86 : x
  2. Step 2: Convert to fraction form
    1,821.42/2,732.10 = 522.86/x
  3. Step 3: Cross multiply
    1,821.42x = 2,732.10 × 522.86
  4. Step 4: Simplify right side
    1,821.42x = 1,428,505.81
  5. Step 5: Solve for x
    x = 1,428,505.81/1,821.42
  6. Step 6: Final answer
    x = 784.28

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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.