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Finding the Fourth Proportional to 2,257.00, 3,114.72 and 1,262.21

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Solution

The fourth proportional to 2,257.00, 3,114.72 and 1,262.21 is: 1,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.00 : 3,114.72 = 1,262.21 : x
  2. Step 2: Convert to fraction form
    2,257.00/3,114.72 = 1,262.21/x
  3. Step 3: Cross multiply
    2,257.00x = 3,114.72 × 1,262.21
  4. Step 4: Simplify right side
    2,257.00x = 3,931,415.16
  5. Step 5: Solve for x
    x = 3,931,415.16/2,257.00
  6. Step 6: Final answer
    x = 1,741.88

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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.