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Finding the Fourth Proportional to 2,694.98, 4,042.68 and 846.10

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Solution

The fourth proportional to 2,694.98, 4,042.68 and 846.10 is: 1,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.98 : 4,042.68 = 846.10 : x
  2. Step 2: Convert to fraction form
    2,694.98/4,042.68 = 846.10/x
  3. Step 3: Cross multiply
    2,694.98x = 4,042.68 × 846.10
  4. Step 4: Simplify right side
    2,694.98x = 3,420,511.55
  5. Step 5: Solve for x
    x = 3,420,511.55/2,694.98
  6. Step 6: Final answer
    x = 1,269.22

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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.