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Finding the Fourth Proportional to 1,523.66, 2,102.60 and 851.50

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Solution

The fourth proportional to 1,523.66, 2,102.60 and 851.50 is: 1,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.66 : 2,102.60 = 851.50 : x
  2. Step 2: Convert to fraction form
    1,523.66/2,102.60 = 851.50/x
  3. Step 3: Cross multiply
    1,523.66x = 2,102.60 × 851.50
  4. Step 4: Simplify right side
    1,523.66x = 1,790,359.64
  5. Step 5: Solve for x
    x = 1,790,359.64/1,523.66
  6. Step 6: Final answer
    x = 1,175.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.