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Finding the Fourth Proportional to 2,316.43, 3,474.51 and 672.94

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Solution

The fourth proportional to 2,316.43, 3,474.51 and 672.94 is: 1,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.43 : 3,474.51 = 672.94 : x
  2. Step 2: Convert to fraction form
    2,316.43/3,474.51 = 672.94/x
  3. Step 3: Cross multiply
    2,316.43x = 3,474.51 × 672.94
  4. Step 4: Simplify right side
    2,316.43x = 2,338,136.76
  5. Step 5: Solve for x
    x = 2,338,136.76/2,316.43
  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.