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Finding the Fourth Proportional to 2,124.89, 2,932.36 and 1,193.39

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Solution

The fourth proportional to 2,124.89, 2,932.36 and 1,193.39 is: 1,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.89 : 2,932.36 = 1,193.39 : x
  2. Step 2: Convert to fraction form
    2,124.89/2,932.36 = 1,193.39/x
  3. Step 3: Cross multiply
    2,124.89x = 2,932.36 × 1,193.39
  4. Step 4: Simplify right side
    2,124.89x = 3,499,449.10
  5. Step 5: Solve for x
    x = 3,499,449.10/2,124.89
  6. Step 6: Final answer
    x = 1,646.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.