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Finding the Fourth Proportional to 1,744.41, 2,609.60 and 1,503.93

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Solution

The fourth proportional to 1,744.41, 2,609.60 and 1,503.93 is: 2,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.41 : 2,609.60 = 1,503.93 : x
  2. Step 2: Convert to fraction form
    1,744.41/2,609.60 = 1,503.93/x
  3. Step 3: Cross multiply
    1,744.41x = 2,609.60 × 1,503.93
  4. Step 4: Simplify right side
    1,744.41x = 3,924,648.21
  5. Step 5: Solve for x
    x = 3,924,648.21/1,744.41
  6. Step 6: Final answer
    x = 2,249.84

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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.