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Finding the Fourth Proportional to 1,740.09, 2,609.33 and 644.43

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Solution

The fourth proportional to 1,740.09, 2,609.33 and 644.43 is: 966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.09 : 2,609.33 = 644.43 : x
  2. Step 2: Convert to fraction form
    1,740.09/2,609.33 = 644.43/x
  3. Step 3: Cross multiply
    1,740.09x = 2,609.33 × 644.43
  4. Step 4: Simplify right side
    1,740.09x = 1,681,527.31
  5. Step 5: Solve for x
    x = 1,681,527.31/1,740.09
  6. Step 6: Final answer
    x = 966.35

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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.