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Finding the Fourth Proportional to 2,578.02, 3,558 and 1,582.92

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Solution

The fourth proportional to 2,578.02, 3,558 and 1,582.92 is: 2,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.02 : 3,558 = 1,582.92 : x
  2. Step 2: Convert to fraction form
    2,578.02/3,558 = 1,582.92/x
  3. Step 3: Cross multiply
    2,578.02x = 3,558 × 1,582.92
  4. Step 4: Simplify right side
    2,578.02x = 5,632,029.36
  5. Step 5: Solve for x
    x = 5,632,029.36/2,578.02
  6. Step 6: Final answer
    x = 2,184.63

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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.