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Finding the Fourth Proportional to 1,523.62, 2,102.57 and 894.03

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Solution

The fourth proportional to 1,523.62, 2,102.57 and 894.03 is: 1,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.62 : 2,102.57 = 894.03 : x
  2. Step 2: Convert to fraction form
    1,523.62/2,102.57 = 894.03/x
  3. Step 3: Cross multiply
    1,523.62x = 2,102.57 × 894.03
  4. Step 4: Simplify right side
    1,523.62x = 1,879,769.29
  5. Step 5: Solve for x
    x = 1,879,769.29/1,523.62
  6. Step 6: Final answer
    x = 1,233.75

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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.