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Finding the Fourth Proportional to 2,184.72, 3,015 and 1,189.96

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Solution

The fourth proportional to 2,184.72, 3,015 and 1,189.96 is: 1,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.72 : 3,015 = 1,189.96 : x
  2. Step 2: Convert to fraction form
    2,184.72/3,015 = 1,189.96/x
  3. Step 3: Cross multiply
    2,184.72x = 3,015 × 1,189.96
  4. Step 4: Simplify right side
    2,184.72x = 3,587,729.40
  5. Step 5: Solve for x
    x = 3,587,729.40/2,184.72
  6. Step 6: Final answer
    x = 1,642.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.