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Finding the Fourth Proportional to 2,124.64, 3,187.04 and 663.68

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Solution

The fourth proportional to 2,124.64, 3,187.04 and 663.68 is: 995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.64 : 3,187.04 = 663.68 : x
  2. Step 2: Convert to fraction form
    2,124.64/3,187.04 = 663.68/x
  3. Step 3: Cross multiply
    2,124.64x = 3,187.04 × 663.68
  4. Step 4: Simplify right side
    2,124.64x = 2,115,174.71
  5. Step 5: Solve for x
    x = 2,115,174.71/2,124.64
  6. Step 6: Final answer
    x = 995.54

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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.