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Finding the Fourth Proportional to 4,668.36, 7,002.60 and 1,205.61

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Solution

The fourth proportional to 4,668.36, 7,002.60 and 1,205.61 is: 1,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.36 : 7,002.60 = 1,205.61 : x
  2. Step 2: Convert to fraction form
    4,668.36/7,002.60 = 1,205.61/x
  3. Step 3: Cross multiply
    4,668.36x = 7,002.60 × 1,205.61
  4. Step 4: Simplify right side
    4,668.36x = 8,442,404.59
  5. Step 5: Solve for x
    x = 8,442,404.59/4,668.36
  6. Step 6: Final answer
    x = 1,808.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.