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Finding the Fourth Proportional to 2,114.18, 3,171.46 and 554.17

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Solution

The fourth proportional to 2,114.18, 3,171.46 and 554.17 is: 831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.18 : 3,171.46 = 554.17 : x
  2. Step 2: Convert to fraction form
    2,114.18/3,171.46 = 554.17/x
  3. Step 3: Cross multiply
    2,114.18x = 3,171.46 × 554.17
  4. Step 4: Simplify right side
    2,114.18x = 1,757,527.99
  5. Step 5: Solve for x
    x = 1,757,527.99/2,114.18
  6. Step 6: Final answer
    x = 831.30

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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.