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Finding the Fourth Proportional to 2,658.68, 3,668.64 and 1,539.62

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Solution

The fourth proportional to 2,658.68, 3,668.64 and 1,539.62 is: 2,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.68 : 3,668.64 = 1,539.62 : x
  2. Step 2: Convert to fraction form
    2,658.68/3,668.64 = 1,539.62/x
  3. Step 3: Cross multiply
    2,658.68x = 3,668.64 × 1,539.62
  4. Step 4: Simplify right side
    2,658.68x = 5,648,311.52
  5. Step 5: Solve for x
    x = 5,648,311.52/2,658.68
  6. Step 6: Final answer
    x = 2,124.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.