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Finding the Fourth Proportional to 2,372.42, 3,559.08 and 728.67

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Solution

The fourth proportional to 2,372.42, 3,559.08 and 728.67 is: 1,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.42 : 3,559.08 = 728.67 : x
  2. Step 2: Convert to fraction form
    2,372.42/3,559.08 = 728.67/x
  3. Step 3: Cross multiply
    2,372.42x = 3,559.08 × 728.67
  4. Step 4: Simplify right side
    2,372.42x = 2,593,394.82
  5. Step 5: Solve for x
    x = 2,593,394.82/2,372.42
  6. Step 6: Final answer
    x = 1,093.15

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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.