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Finding the Fourth Proportional to 3,205.71, 4,808.57 and 1,014.63

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Solution

The fourth proportional to 3,205.71, 4,808.57 and 1,014.63 is: 1,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.71 : 4,808.57 = 1,014.63 : x
  2. Step 2: Convert to fraction form
    3,205.71/4,808.57 = 1,014.63/x
  3. Step 3: Cross multiply
    3,205.71x = 4,808.57 × 1,014.63
  4. Step 4: Simplify right side
    3,205.71x = 4,878,896.27
  5. Step 5: Solve for x
    x = 4,878,896.27/3,205.71
  6. Step 6: Final answer
    x = 1,521.94

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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.