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Finding the Fourth Proportional to 2,384.58, 3,577.03 and 824.74

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Solution

The fourth proportional to 2,384.58, 3,577.03 and 824.74 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.58 : 3,577.03 = 824.74 : x
  2. Step 2: Convert to fraction form
    2,384.58/3,577.03 = 824.74/x
  3. Step 3: Cross multiply
    2,384.58x = 3,577.03 × 824.74
  4. Step 4: Simplify right side
    2,384.58x = 2,950,119.72
  5. Step 5: Solve for x
    x = 2,950,119.72/2,384.58
  6. Step 6: Final answer
    x = 1,237.17

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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.