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Finding the Fourth Proportional to 2,184.80, 3,014.28 and 1,399.32

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Solution

The fourth proportional to 2,184.80, 3,014.28 and 1,399.32 is: 1,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.80 : 3,014.28 = 1,399.32 : x
  2. Step 2: Convert to fraction form
    2,184.80/3,014.28 = 1,399.32/x
  3. Step 3: Cross multiply
    2,184.80x = 3,014.28 × 1,399.32
  4. Step 4: Simplify right side
    2,184.80x = 4,217,942.29
  5. Step 5: Solve for x
    x = 4,217,942.29/2,184.80
  6. Step 6: Final answer
    x = 1,930.59

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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.