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Finding the Fourth Proportional to 2,114.32, 3,171.49 and 554.31

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Solution

The fourth proportional to 2,114.32, 3,171.49 and 554.31 is: 831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.32 : 3,171.49 = 554.31 : x
  2. Step 2: Convert to fraction form
    2,114.32/3,171.49 = 554.31/x
  3. Step 3: Cross multiply
    2,114.32x = 3,171.49 × 554.31
  4. Step 4: Simplify right side
    2,114.32x = 1,757,982.25
  5. Step 5: Solve for x
    x = 1,757,982.25/2,114.32
  6. Step 6: Final answer
    x = 831.47

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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.