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Finding the Fourth Proportional to 2,184.66, 2,988.16 and 2,150.64

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Solution

The fourth proportional to 2,184.66, 2,988.16 and 2,150.64 is: 2,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.66 : 2,988.16 = 2,150.64 : x
  2. Step 2: Convert to fraction form
    2,184.66/2,988.16 = 2,150.64/x
  3. Step 3: Cross multiply
    2,184.66x = 2,988.16 × 2,150.64
  4. Step 4: Simplify right side
    2,184.66x = 6,426,451.05
  5. Step 5: Solve for x
    x = 6,426,451.05/2,184.66
  6. Step 6: Final answer
    x = 2,941.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.