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Finding the Fourth Proportional to 1,672.25, 2,305.15 and 1,111.68

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Solution

The fourth proportional to 1,672.25, 2,305.15 and 1,111.68 is: 1,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.25 : 2,305.15 = 1,111.68 : x
  2. Step 2: Convert to fraction form
    1,672.25/2,305.15 = 1,111.68/x
  3. Step 3: Cross multiply
    1,672.25x = 2,305.15 × 1,111.68
  4. Step 4: Simplify right side
    1,672.25x = 2,562,586.37
  5. Step 5: Solve for x
    x = 2,562,586.37/1,672.25
  6. Step 6: Final answer
    x = 1,532.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.