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Finding the Fourth Proportional to 2,316.23, 3,474.89 and 672.81

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Solution

The fourth proportional to 2,316.23, 3,474.89 and 672.81 is: 1,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.23 : 3,474.89 = 672.81 : x
  2. Step 2: Convert to fraction form
    2,316.23/3,474.89 = 672.81/x
  3. Step 3: Cross multiply
    2,316.23x = 3,474.89 × 672.81
  4. Step 4: Simplify right side
    2,316.23x = 2,337,937.38
  5. Step 5: Solve for x
    x = 2,337,937.38/2,316.23
  6. Step 6: Final answer
    x = 1,009.37

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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.