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Finding the Fourth Proportional to 2,347.78, 3,520.68 and 704.56

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Solution

The fourth proportional to 2,347.78, 3,520.68 and 704.56 is: 1,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.78 : 3,520.68 = 704.56 : x
  2. Step 2: Convert to fraction form
    2,347.78/3,520.68 = 704.56/x
  3. Step 3: Cross multiply
    2,347.78x = 3,520.68 × 704.56
  4. Step 4: Simplify right side
    2,347.78x = 2,480,530.30
  5. Step 5: Solve for x
    x = 2,480,530.30/2,347.78
  6. Step 6: Final answer
    x = 1,056.54

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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.