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Finding the Fourth Proportional to 2,658.69, 3,668.63 and 1,524.47

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Solution

The fourth proportional to 2,658.69, 3,668.63 and 1,524.47 is: 2,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.69 : 3,668.63 = 1,524.47 : x
  2. Step 2: Convert to fraction form
    2,658.69/3,668.63 = 1,524.47/x
  3. Step 3: Cross multiply
    2,658.69x = 3,668.63 × 1,524.47
  4. Step 4: Simplify right side
    2,658.69x = 5,592,690.41
  5. Step 5: Solve for x
    x = 5,592,690.41/2,658.69
  6. Step 6: Final answer
    x = 2,103.55

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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.