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Finding the Fourth Proportional to 2,096.01, 2,891.59 and 1,256.45

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Solution

The fourth proportional to 2,096.01, 2,891.59 and 1,256.45 is: 1,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.01 : 2,891.59 = 1,256.45 : x
  2. Step 2: Convert to fraction form
    2,096.01/2,891.59 = 1,256.45/x
  3. Step 3: Cross multiply
    2,096.01x = 2,891.59 × 1,256.45
  4. Step 4: Simplify right side
    2,096.01x = 3,633,120.66
  5. Step 5: Solve for x
    x = 3,633,120.66/2,096.01
  6. Step 6: Final answer
    x = 1,733.35

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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.