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Finding the Fourth Proportional to 2,182.64, 3,272.72 and 1,490.14

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Solution

The fourth proportional to 2,182.64, 3,272.72 and 1,490.14 is: 2,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.64 : 3,272.72 = 1,490.14 : x
  2. Step 2: Convert to fraction form
    2,182.64/3,272.72 = 1,490.14/x
  3. Step 3: Cross multiply
    2,182.64x = 3,272.72 × 1,490.14
  4. Step 4: Simplify right side
    2,182.64x = 4,876,803.53
  5. Step 5: Solve for x
    x = 4,876,803.53/2,182.64
  6. Step 6: Final answer
    x = 2,234.37

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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.