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Finding the Fourth Proportional to 2,124, 3,186.24 and 585.04

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Solution

The fourth proportional to 2,124, 3,186.24 and 585.04 is: 877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124 : 3,186.24 = 585.04 : x
  2. Step 2: Convert to fraction form
    2,124/3,186.24 = 585.04/x
  3. Step 3: Cross multiply
    2,124x = 3,186.24 × 585.04
  4. Step 4: Simplify right side
    2,124x = 1,864,077.85
  5. Step 5: Solve for x
    x = 1,864,077.85/2,124
  6. Step 6: Final answer
    x = 877.63

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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.