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Finding the Fourth Proportional to 1,441.18, 2,160.33 and 619.03

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Solution

The fourth proportional to 1,441.18, 2,160.33 and 619.03 is: 927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.18 : 2,160.33 = 619.03 : x
  2. Step 2: Convert to fraction form
    1,441.18/2,160.33 = 619.03/x
  3. Step 3: Cross multiply
    1,441.18x = 2,160.33 × 619.03
  4. Step 4: Simplify right side
    1,441.18x = 1,337,309.08
  5. Step 5: Solve for x
    x = 1,337,309.08/1,441.18
  6. Step 6: Final answer
    x = 927.93

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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.