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Finding the Fourth Proportional to 3,147.63, 4,721.34 and 1,689.63

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Solution

The fourth proportional to 3,147.63, 4,721.34 and 1,689.63 is: 2,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.63 : 4,721.34 = 1,689.63 : x
  2. Step 2: Convert to fraction form
    3,147.63/4,721.34 = 1,689.63/x
  3. Step 3: Cross multiply
    3,147.63x = 4,721.34 × 1,689.63
  4. Step 4: Simplify right side
    3,147.63x = 7,977,317.70
  5. Step 5: Solve for x
    x = 7,977,317.70/3,147.63
  6. Step 6: Final answer
    x = 2,534.39

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1.5x scale

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.