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Finding the Fourth Proportional to 1,822.32, 2,514.79 and 994.32

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Solution

The fourth proportional to 1,822.32, 2,514.79 and 994.32 is: 1,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.32 : 2,514.79 = 994.32 : x
  2. Step 2: Convert to fraction form
    1,822.32/2,514.79 = 994.32/x
  3. Step 3: Cross multiply
    1,822.32x = 2,514.79 × 994.32
  4. Step 4: Simplify right side
    1,822.32x = 2,500,505.99
  5. Step 5: Solve for x
    x = 2,500,505.99/1,822.32
  6. Step 6: Final answer
    x = 1,372.16

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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.