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Finding the Fourth Proportional to 1,685.21, 2,324.91 and 1,021.82

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Solution

The fourth proportional to 1,685.21, 2,324.91 and 1,021.82 is: 1,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.21 : 2,324.91 = 1,021.82 : x
  2. Step 2: Convert to fraction form
    1,685.21/2,324.91 = 1,021.82/x
  3. Step 3: Cross multiply
    1,685.21x = 2,324.91 × 1,021.82
  4. Step 4: Simplify right side
    1,685.21x = 2,375,640.46
  5. Step 5: Solve for x
    x = 2,375,640.46/1,685.21
  6. Step 6: Final answer
    x = 1,409.70

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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.