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Finding the Fourth Proportional to 2,372.96, 3,560.06 and 729.47

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Solution

The fourth proportional to 2,372.96, 3,560.06 and 729.47 is: 1,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.96 : 3,560.06 = 729.47 : x
  2. Step 2: Convert to fraction form
    2,372.96/3,560.06 = 729.47/x
  3. Step 3: Cross multiply
    2,372.96x = 3,560.06 × 729.47
  4. Step 4: Simplify right side
    2,372.96x = 2,596,967.69
  5. Step 5: Solve for x
    x = 2,596,967.69/2,372.96
  6. Step 6: Final answer
    x = 1,094.40

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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.