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Finding the Fourth Proportional to 1,472.27, 2,208.90 and 923.81

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Solution

The fourth proportional to 1,472.27, 2,208.90 and 923.81 is: 1,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.27 : 2,208.90 = 923.81 : x
  2. Step 2: Convert to fraction form
    1,472.27/2,208.90 = 923.81/x
  3. Step 3: Cross multiply
    1,472.27x = 2,208.90 × 923.81
  4. Step 4: Simplify right side
    1,472.27x = 2,040,592.86
  5. Step 5: Solve for x
    x = 2,040,592.86/1,472.27
  6. Step 6: Final answer
    x = 1,386.02

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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.