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Finding the Fourth Proportional to 2,842.76, 3,923.34 and 1,663.85

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Solution

The fourth proportional to 2,842.76, 3,923.34 and 1,663.85 is: 2,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.76 : 3,923.34 = 1,663.85 : x
  2. Step 2: Convert to fraction form
    2,842.76/3,923.34 = 1,663.85/x
  3. Step 3: Cross multiply
    2,842.76x = 3,923.34 × 1,663.85
  4. Step 4: Simplify right side
    2,842.76x = 6,527,849.26
  5. Step 5: Solve for x
    x = 6,527,849.26/2,842.76
  6. Step 6: Final answer
    x = 2,296.31

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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.