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Finding the Fourth Proportional to 2,372.76, 3,559.65 and 729.44

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Solution

The fourth proportional to 2,372.76, 3,559.65 and 729.44 is: 1,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.76 : 3,559.65 = 729.44 : x
  2. Step 2: Convert to fraction form
    2,372.76/3,559.65 = 729.44/x
  3. Step 3: Cross multiply
    2,372.76x = 3,559.65 × 729.44
  4. Step 4: Simplify right side
    2,372.76x = 2,596,533.30
  5. Step 5: Solve for x
    x = 2,596,533.30/2,372.76
  6. Step 6: Final answer
    x = 1,094.31

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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.