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Finding the Fourth Proportional to 1,822.80, 2,514.24 and 1,232.40

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Solution

The fourth proportional to 1,822.80, 2,514.24 and 1,232.40 is: 1,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.80 : 2,514.24 = 1,232.40 : x
  2. Step 2: Convert to fraction form
    1,822.80/2,514.24 = 1,232.40/x
  3. Step 3: Cross multiply
    1,822.80x = 2,514.24 × 1,232.40
  4. Step 4: Simplify right side
    1,822.80x = 3,098,549.38
  5. Step 5: Solve for x
    x = 3,098,549.38/1,822.80
  6. Step 6: Final answer
    x = 1,699.88

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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.