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Finding the Fourth Proportional to 1,256.36, 1,741.30 and 1,233.02

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Solution

The fourth proportional to 1,256.36, 1,741.30 and 1,233.02 is: 1,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.36 : 1,741.30 = 1,233.02 : x
  2. Step 2: Convert to fraction form
    1,256.36/1,741.30 = 1,233.02/x
  3. Step 3: Cross multiply
    1,256.36x = 1,741.30 × 1,233.02
  4. Step 4: Simplify right side
    1,256.36x = 2,147,059.00
  5. Step 5: Solve for x
    x = 2,147,059.00/1,256.36
  6. Step 6: Final answer
    x = 1,708.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.