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Finding the Fourth Proportional to 2,412.52, 3,329.93 and 1,418.12

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Solution

The fourth proportional to 2,412.52, 3,329.93 and 1,418.12 is: 1,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.52 : 3,329.93 = 1,418.12 : x
  2. Step 2: Convert to fraction form
    2,412.52/3,329.93 = 1,418.12/x
  3. Step 3: Cross multiply
    2,412.52x = 3,329.93 × 1,418.12
  4. Step 4: Simplify right side
    2,412.52x = 4,722,240.33
  5. Step 5: Solve for x
    x = 4,722,240.33/2,412.52
  6. Step 6: Final answer
    x = 1,957.39

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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.