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Finding the Fourth Proportional to 2,184.58, 3,014.71 and 1,189.84

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Solution

The fourth proportional to 2,184.58, 3,014.71 and 1,189.84 is: 1,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.58 : 3,014.71 = 1,189.84 : x
  2. Step 2: Convert to fraction form
    2,184.58/3,014.71 = 1,189.84/x
  3. Step 3: Cross multiply
    2,184.58x = 3,014.71 × 1,189.84
  4. Step 4: Simplify right side
    2,184.58x = 3,587,022.55
  5. Step 5: Solve for x
    x = 3,587,022.55/2,184.58
  6. Step 6: Final answer
    x = 1,641.97

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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.