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Finding the Fourth Proportional to 2,658.41, 3,668.61 and 1,539.41

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Solution

The fourth proportional to 2,658.41, 3,668.61 and 1,539.41 is: 2,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.41 : 3,668.61 = 1,539.41 : x
  2. Step 2: Convert to fraction form
    2,658.41/3,668.61 = 1,539.41/x
  3. Step 3: Cross multiply
    2,658.41x = 3,668.61 × 1,539.41
  4. Step 4: Simplify right side
    2,658.41x = 5,647,482.35
  5. Step 5: Solve for x
    x = 5,647,482.35/2,658.41
  6. Step 6: Final answer
    x = 2,124.38

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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.