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Finding the Fourth Proportional to 1,634.34, 2,453.98 and 815.42

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Solution

The fourth proportional to 1,634.34, 2,453.98 and 815.42 is: 1,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.34 : 2,453.98 = 815.42 : x
  2. Step 2: Convert to fraction form
    1,634.34/2,453.98 = 815.42/x
  3. Step 3: Cross multiply
    1,634.34x = 2,453.98 × 815.42
  4. Step 4: Simplify right side
    1,634.34x = 2,001,024.37
  5. Step 5: Solve for x
    x = 2,001,024.37/1,634.34
  6. Step 6: Final answer
    x = 1,224.36

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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.