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Finding the Fourth Proportional to 1,694.42, 2,541.63 and 461.83

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Solution

The fourth proportional to 1,694.42, 2,541.63 and 461.83 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.42 : 2,541.63 = 461.83 : x
  2. Step 2: Convert to fraction form
    1,694.42/2,541.63 = 461.83/x
  3. Step 3: Cross multiply
    1,694.42x = 2,541.63 × 461.83
  4. Step 4: Simplify right side
    1,694.42x = 1,173,785.97
  5. Step 5: Solve for x
    x = 1,173,785.97/1,694.42
  6. Step 6: Final answer
    x = 692.74

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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.