Home / 1,821.17-2,731.38-522.35

Finding the Fourth Proportional to 1,821.17, 2,731.38 and 522.35

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Solution

The fourth proportional to 1,821.17, 2,731.38 and 522.35 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.17 : 2,731.38 = 522.35 : x
  2. Step 2: Convert to fraction form
    1,821.17/2,731.38 = 522.35/x
  3. Step 3: Cross multiply
    1,821.17x = 2,731.38 × 522.35
  4. Step 4: Simplify right side
    1,821.17x = 1,426,736.34
  5. Step 5: Solve for x
    x = 1,426,736.34/1,821.17
  6. Step 6: Final answer
    x = 783.42

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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.