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Finding the Fourth Proportional to 2,582.04, 3,893.34 and 2,409.78

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Solution

The fourth proportional to 2,582.04, 3,893.34 and 2,409.78 is: 3,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.04 : 3,893.34 = 2,409.78 : x
  2. Step 2: Convert to fraction form
    2,582.04/3,893.34 = 2,409.78/x
  3. Step 3: Cross multiply
    2,582.04x = 3,893.34 × 2,409.78
  4. Step 4: Simplify right side
    2,582.04x = 9,382,092.87
  5. Step 5: Solve for x
    x = 9,382,092.87/2,582.04
  6. Step 6: Final answer
    x = 3,633.60

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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.