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Finding the Fourth Proportional to 1,453.34, 2,179.62 and 631.42

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Solution

The fourth proportional to 1,453.34, 2,179.62 and 631.42 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.34 : 2,179.62 = 631.42 : x
  2. Step 2: Convert to fraction form
    1,453.34/2,179.62 = 631.42/x
  3. Step 3: Cross multiply
    1,453.34x = 2,179.62 × 631.42
  4. Step 4: Simplify right side
    1,453.34x = 1,376,255.66
  5. Step 5: Solve for x
    x = 1,376,255.66/1,453.34
  6. Step 6: Final answer
    x = 946.96

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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.