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Finding the Fourth Proportional to 2,184.50, 3,014.64 and 1,189.80

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Solution

The fourth proportional to 2,184.50, 3,014.64 and 1,189.80 is: 1,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.50 : 3,014.64 = 1,189.80 : x
  2. Step 2: Convert to fraction form
    2,184.50/3,014.64 = 1,189.80/x
  3. Step 3: Cross multiply
    2,184.50x = 3,014.64 × 1,189.80
  4. Step 4: Simplify right side
    2,184.50x = 3,586,818.67
  5. Step 5: Solve for x
    x = 3,586,818.67/2,184.50
  6. Step 6: Final answer
    x = 1,641.94

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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.