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Finding the Fourth Proportional to 2,756.06, 4,134.16 and 704.06

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Solution

The fourth proportional to 2,756.06, 4,134.16 and 704.06 is: 1,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.06 : 4,134.16 = 704.06 : x
  2. Step 2: Convert to fraction form
    2,756.06/4,134.16 = 704.06/x
  3. Step 3: Cross multiply
    2,756.06x = 4,134.16 × 704.06
  4. Step 4: Simplify right side
    2,756.06x = 2,910,707.91
  5. Step 5: Solve for x
    x = 2,910,707.91/2,756.06
  6. Step 6: Final answer
    x = 1,056.11

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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.