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Finding the Fourth Proportional to 2,242.40, 3,364.16 and 1,318.56

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Solution

The fourth proportional to 2,242.40, 3,364.16 and 1,318.56 is: 1,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.40 : 3,364.16 = 1,318.56 : x
  2. Step 2: Convert to fraction form
    2,242.40/3,364.16 = 1,318.56/x
  3. Step 3: Cross multiply
    2,242.40x = 3,364.16 × 1,318.56
  4. Step 4: Simplify right side
    2,242.40x = 4,435,846.81
  5. Step 5: Solve for x
    x = 4,435,846.81/2,242.40
  6. Step 6: Final answer
    x = 1,978.17

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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.