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Finding the Fourth Proportional to 2,184.59, 3,014.77 and 1,189.87

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Solution

The fourth proportional to 2,184.59, 3,014.77 and 1,189.87 is: 1,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.59 : 3,014.77 = 1,189.87 : x
  2. Step 2: Convert to fraction form
    2,184.59/3,014.77 = 1,189.87/x
  3. Step 3: Cross multiply
    2,184.59x = 3,014.77 × 1,189.87
  4. Step 4: Simplify right side
    2,184.59x = 3,587,180.61
  5. Step 5: Solve for x
    x = 3,587,180.61/2,184.59
  6. Step 6: Final answer
    x = 1,642.04

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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.