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Finding the Fourth Proportional to 2,096.71, 2,893.70 and 1,257.87

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Solution

The fourth proportional to 2,096.71, 2,893.70 and 1,257.87 is: 1,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.71 : 2,893.70 = 1,257.87 : x
  2. Step 2: Convert to fraction form
    2,096.71/2,893.70 = 1,257.87/x
  3. Step 3: Cross multiply
    2,096.71x = 2,893.70 × 1,257.87
  4. Step 4: Simplify right side
    2,096.71x = 3,639,898.42
  5. Step 5: Solve for x
    x = 3,639,898.42/2,096.71
  6. Step 6: Final answer
    x = 1,736.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.