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Finding the Fourth Proportional to 2,364.92, 3,548.20 and 805.40

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Solution

The fourth proportional to 2,364.92, 3,548.20 and 805.40 is: 1,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.92 : 3,548.20 = 805.40 : x
  2. Step 2: Convert to fraction form
    2,364.92/3,548.20 = 805.40/x
  3. Step 3: Cross multiply
    2,364.92x = 3,548.20 × 805.40
  4. Step 4: Simplify right side
    2,364.92x = 2,857,720.28
  5. Step 5: Solve for x
    x = 2,857,720.28/2,364.92
  6. Step 6: Final answer
    x = 1,208.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.