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Finding the Fourth Proportional to 3,142, 4,713 and 1,774

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Solution

The fourth proportional to 3,142, 4,713 and 1,774 is: 2,661

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142 : 4,713 = 1,774 : x
  2. Step 2: Convert to fraction form
    3,142/4,713 = 1,774/x
  3. Step 3: Cross multiply
    3,142x = 4,713 × 1,774
  4. Step 4: Simplify right side
    3,142x = 8,360,862
  5. Step 5: Solve for x
    x = 8,360,862/3,142
  6. Step 6: Final answer
    x = 2,661

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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.