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Finding the Fourth Proportional to 2,570.67, 3,856.02 and 1,704.78

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Solution

The fourth proportional to 2,570.67, 3,856.02 and 1,704.78 is: 2,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.67 : 3,856.02 = 1,704.78 : x
  2. Step 2: Convert to fraction form
    2,570.67/3,856.02 = 1,704.78/x
  3. Step 3: Cross multiply
    2,570.67x = 3,856.02 × 1,704.78
  4. Step 4: Simplify right side
    2,570.67x = 6,573,665.78
  5. Step 5: Solve for x
    x = 6,573,665.78/2,570.67
  6. Step 6: Final answer
    x = 2,557.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.