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Finding the Fourth Proportional to 2,124.78, 3,187.56 and 663.84

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Solution

The fourth proportional to 2,124.78, 3,187.56 and 663.84 is: 995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.78 : 3,187.56 = 663.84 : x
  2. Step 2: Convert to fraction form
    2,124.78/3,187.56 = 663.84/x
  3. Step 3: Cross multiply
    2,124.78x = 3,187.56 × 663.84
  4. Step 4: Simplify right side
    2,124.78x = 2,116,029.83
  5. Step 5: Solve for x
    x = 2,116,029.83/2,124.78
  6. Step 6: Final answer
    x = 995.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.