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Finding the Fourth Proportional to 1,885.71, 2,601.41 and 1,256.07

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Solution

The fourth proportional to 1,885.71, 2,601.41 and 1,256.07 is: 1,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.71 : 2,601.41 = 1,256.07 : x
  2. Step 2: Convert to fraction form
    1,885.71/2,601.41 = 1,256.07/x
  3. Step 3: Cross multiply
    1,885.71x = 2,601.41 × 1,256.07
  4. Step 4: Simplify right side
    1,885.71x = 3,267,546.78
  5. Step 5: Solve for x
    x = 3,267,546.78/1,885.71
  6. Step 6: Final answer
    x = 1,732.79

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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.