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Finding the Fourth Proportional to 1,672.23, 2,506.71 and 940.23

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Solution

The fourth proportional to 1,672.23, 2,506.71 and 940.23 is: 1,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.23 : 2,506.71 = 940.23 : x
  2. Step 2: Convert to fraction form
    1,672.23/2,506.71 = 940.23/x
  3. Step 3: Cross multiply
    1,672.23x = 2,506.71 × 940.23
  4. Step 4: Simplify right side
    1,672.23x = 2,356,883.94
  5. Step 5: Solve for x
    x = 2,356,883.94/1,672.23
  6. Step 6: Final answer
    x = 1,409.43

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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.