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Finding the Fourth Proportional to 1,213.52, 1,811.45 and 1,123.36

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Solution

The fourth proportional to 1,213.52, 1,811.45 and 1,123.36 is: 1,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.52 : 1,811.45 = 1,123.36 : x
  2. Step 2: Convert to fraction form
    1,213.52/1,811.45 = 1,123.36/x
  3. Step 3: Cross multiply
    1,213.52x = 1,811.45 × 1,123.36
  4. Step 4: Simplify right side
    1,213.52x = 2,034,910.47
  5. Step 5: Solve for x
    x = 2,034,910.47/1,213.52
  6. Step 6: Final answer
    x = 1,676.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.