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Finding the Fourth Proportional to 1,523.42, 2,102.12 and 851.16

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Solution

The fourth proportional to 1,523.42, 2,102.12 and 851.16 is: 1,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.42 : 2,102.12 = 851.16 : x
  2. Step 2: Convert to fraction form
    1,523.42/2,102.12 = 851.16/x
  3. Step 3: Cross multiply
    1,523.42x = 2,102.12 × 851.16
  4. Step 4: Simplify right side
    1,523.42x = 1,789,235.45
  5. Step 5: Solve for x
    x = 1,789,235.45/1,523.42
  6. Step 6: Final answer
    x = 1,174.48

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1.5x scale

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.