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Finding the Fourth Proportional to 1,421.25, 1,960.06 and 923.42

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Solution

The fourth proportional to 1,421.25, 1,960.06 and 923.42 is: 1,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.25 : 1,960.06 = 923.42 : x
  2. Step 2: Convert to fraction form
    1,421.25/1,960.06 = 923.42/x
  3. Step 3: Cross multiply
    1,421.25x = 1,960.06 × 923.42
  4. Step 4: Simplify right side
    1,421.25x = 1,809,958.61
  5. Step 5: Solve for x
    x = 1,809,958.61/1,421.25
  6. Step 6: Final answer
    x = 1,273.50

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