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Finding the Fourth Proportional to 1,257.64, 1,883.58 and 1,214.44

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Solution

The fourth proportional to 1,257.64, 1,883.58 and 1,214.44 is: 1,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.64 : 1,883.58 = 1,214.44 : x
  2. Step 2: Convert to fraction form
    1,257.64/1,883.58 = 1,214.44/x
  3. Step 3: Cross multiply
    1,257.64x = 1,883.58 × 1,214.44
  4. Step 4: Simplify right side
    1,257.64x = 2,287,494.90
  5. Step 5: Solve for x
    x = 2,287,494.90/1,257.64
  6. Step 6: Final answer
    x = 1,818.88

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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.