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Finding the Fourth Proportional to 2,294.64, 3,446 and 1,709.80

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Solution

The fourth proportional to 2,294.64, 3,446 and 1,709.80 is: 2,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.64 : 3,446 = 1,709.80 : x
  2. Step 2: Convert to fraction form
    2,294.64/3,446 = 1,709.80/x
  3. Step 3: Cross multiply
    2,294.64x = 3,446 × 1,709.80
  4. Step 4: Simplify right side
    2,294.64x = 5,891,970.80
  5. Step 5: Solve for x
    x = 5,891,970.80/2,294.64
  6. Step 6: Final answer
    x = 2,567.71

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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.