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Finding the Fourth Proportional to 2,293.79, 3,164 and 1,909.54

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Solution

The fourth proportional to 2,293.79, 3,164 and 1,909.54 is: 2,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.79 : 3,164 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    2,293.79/3,164 = 1,909.54/x
  3. Step 3: Cross multiply
    2,293.79x = 3,164 × 1,909.54
  4. Step 4: Simplify right side
    2,293.79x = 6,041,784.56
  5. Step 5: Solve for x
    x = 6,041,784.56/2,293.79
  6. Step 6: Final answer
    x = 2,633.97

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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.