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Finding the Fourth Proportional to 2,018.64, 2,784.74 and 1,231.32

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Solution

The fourth proportional to 2,018.64, 2,784.74 and 1,231.32 is: 1,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.64 : 2,784.74 = 1,231.32 : x
  2. Step 2: Convert to fraction form
    2,018.64/2,784.74 = 1,231.32/x
  3. Step 3: Cross multiply
    2,018.64x = 2,784.74 × 1,231.32
  4. Step 4: Simplify right side
    2,018.64x = 3,428,899.90
  5. Step 5: Solve for x
    x = 3,428,899.90/2,018.64
  6. Step 6: Final answer
    x = 1,698.62

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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.