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Finding the Fourth Proportional to 2,042.56, 2,818.74 and 1,256.44

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Solution

The fourth proportional to 2,042.56, 2,818.74 and 1,256.44 is: 1,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.56 : 2,818.74 = 1,256.44 : x
  2. Step 2: Convert to fraction form
    2,042.56/2,818.74 = 1,256.44/x
  3. Step 3: Cross multiply
    2,042.56x = 2,818.74 × 1,256.44
  4. Step 4: Simplify right side
    2,042.56x = 3,541,577.69
  5. Step 5: Solve for x
    x = 3,541,577.69/2,042.56
  6. Step 6: Final answer
    x = 1,733.89

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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.