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Finding the Fourth Proportional to 2,475.06, 3,711.96 and 720.06

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Solution

The fourth proportional to 2,475.06, 3,711.96 and 720.06 is: 1,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.06 : 3,711.96 = 720.06 : x
  2. Step 2: Convert to fraction form
    2,475.06/3,711.96 = 720.06/x
  3. Step 3: Cross multiply
    2,475.06x = 3,711.96 × 720.06
  4. Step 4: Simplify right side
    2,475.06x = 2,672,833.92
  5. Step 5: Solve for x
    x = 2,672,833.92/2,475.06
  6. Step 6: Final answer
    x = 1,079.91

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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.