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Finding the Fourth Proportional to 1,563.80, 2,153.66 and 1,299.42

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Solution

The fourth proportional to 1,563.80, 2,153.66 and 1,299.42 is: 1,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,153.66 = 1,299.42 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,153.66 = 1,299.42/x
  3. Step 3: Cross multiply
    1,563.80x = 2,153.66 × 1,299.42
  4. Step 4: Simplify right side
    1,563.80x = 2,798,502.38
  5. Step 5: Solve for x
    x = 2,798,502.38/1,563.80
  6. Step 6: Final answer
    x = 1,789.56

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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.