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Finding the Fourth Proportional to 2,670.74, 4,006.11 and 723.09

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Solution

The fourth proportional to 2,670.74, 4,006.11 and 723.09 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.74 : 4,006.11 = 723.09 : x
  2. Step 2: Convert to fraction form
    2,670.74/4,006.11 = 723.09/x
  3. Step 3: Cross multiply
    2,670.74x = 4,006.11 × 723.09
  4. Step 4: Simplify right side
    2,670.74x = 2,896,778.08
  5. Step 5: Solve for x
    x = 2,896,778.08/2,670.74
  6. Step 6: Final answer
    x = 1,084.64

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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.