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Finding the Fourth Proportional to 2,834.98, 4,252.66 and 754.96

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Solution

The fourth proportional to 2,834.98, 4,252.66 and 754.96 is: 1,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.98 : 4,252.66 = 754.96 : x
  2. Step 2: Convert to fraction form
    2,834.98/4,252.66 = 754.96/x
  3. Step 3: Cross multiply
    2,834.98x = 4,252.66 × 754.96
  4. Step 4: Simplify right side
    2,834.98x = 3,210,588.19
  5. Step 5: Solve for x
    x = 3,210,588.19/2,834.98
  6. Step 6: Final answer
    x = 1,132.49

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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.