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Finding the Fourth Proportional to 2,184.91, 3,278.07 and 1,490.54

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Solution

The fourth proportional to 2,184.91, 3,278.07 and 1,490.54 is: 2,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.91 : 3,278.07 = 1,490.54 : x
  2. Step 2: Convert to fraction form
    2,184.91/3,278.07 = 1,490.54/x
  3. Step 3: Cross multiply
    2,184.91x = 3,278.07 × 1,490.54
  4. Step 4: Simplify right side
    2,184.91x = 4,886,078.07
  5. Step 5: Solve for x
    x = 4,886,078.07/2,184.91
  6. Step 6: Final answer
    x = 2,236.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.