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Finding the Fourth Proportional to 2,670.98, 4,006.46 and 723.13

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Solution

The fourth proportional to 2,670.98, 4,006.46 and 723.13 is: 1,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.98 : 4,006.46 = 723.13 : x
  2. Step 2: Convert to fraction form
    2,670.98/4,006.46 = 723.13/x
  3. Step 3: Cross multiply
    2,670.98x = 4,006.46 × 723.13
  4. Step 4: Simplify right side
    2,670.98x = 2,897,183.21
  5. Step 5: Solve for x
    x = 2,897,183.21/2,670.98
  6. Step 6: Final answer
    x = 1,084.69

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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.