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Finding the Fourth Proportional to 2,416.77, 3,641.37 and 2,185.92

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Solution

The fourth proportional to 2,416.77, 3,641.37 and 2,185.92 is: 3,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.77 : 3,641.37 = 2,185.92 : x
  2. Step 2: Convert to fraction form
    2,416.77/3,641.37 = 2,185.92/x
  3. Step 3: Cross multiply
    2,416.77x = 3,641.37 × 2,185.92
  4. Step 4: Simplify right side
    2,416.77x = 7,959,743.51
  5. Step 5: Solve for x
    x = 7,959,743.51/2,416.77
  6. Step 6: Final answer
    x = 3,293.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.