Home / 1,523.26-2,102.14-894.24

Finding the Fourth Proportional to 1,523.26, 2,102.14 and 894.24

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Solution

The fourth proportional to 1,523.26, 2,102.14 and 894.24 is: 1,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.26 : 2,102.14 = 894.24 : x
  2. Step 2: Convert to fraction form
    1,523.26/2,102.14 = 894.24/x
  3. Step 3: Cross multiply
    1,523.26x = 2,102.14 × 894.24
  4. Step 4: Simplify right side
    1,523.26x = 1,879,817.67
  5. Step 5: Solve for x
    x = 1,879,817.67/1,523.26
  6. Step 6: Final answer
    x = 1,234.08

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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.