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Finding the Fourth Proportional to 1,441.24, 2,160.02 and 618.52

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Solution

The fourth proportional to 1,441.24, 2,160.02 and 618.52 is: 926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.24 : 2,160.02 = 618.52 : x
  2. Step 2: Convert to fraction form
    1,441.24/2,160.02 = 618.52/x
  3. Step 3: Cross multiply
    1,441.24x = 2,160.02 × 618.52
  4. Step 4: Simplify right side
    1,441.24x = 1,336,015.57
  5. Step 5: Solve for x
    x = 1,336,015.57/1,441.24
  6. Step 6: Final answer
    x = 926.99

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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.