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Finding the Fourth Proportional to 2,609.50, 3,602.79 and 2,329.26

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Solution

The fourth proportional to 2,609.50, 3,602.79 and 2,329.26 is: 3,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.50 : 3,602.79 = 2,329.26 : x
  2. Step 2: Convert to fraction form
    2,609.50/3,602.79 = 2,329.26/x
  3. Step 3: Cross multiply
    2,609.50x = 3,602.79 × 2,329.26
  4. Step 4: Simplify right side
    2,609.50x = 8,391,834.64
  5. Step 5: Solve for x
    x = 8,391,834.64/2,609.50
  6. Step 6: Final answer
    x = 3,215.88

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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.