Home / 2,384.82-3,577.14-824.94

Finding the Fourth Proportional to 2,384.82, 3,577.14 and 824.94

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Solution

The fourth proportional to 2,384.82, 3,577.14 and 824.94 is: 1,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.82 : 3,577.14 = 824.94 : x
  2. Step 2: Convert to fraction form
    2,384.82/3,577.14 = 824.94/x
  3. Step 3: Cross multiply
    2,384.82x = 3,577.14 × 824.94
  4. Step 4: Simplify right side
    2,384.82x = 2,950,925.87
  5. Step 5: Solve for x
    x = 2,950,925.87/2,384.82
  6. Step 6: Final answer
    x = 1,237.38

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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.