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Finding the Fourth Proportional to 4,668.48, 7,002.48 and 1,205.64

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Solution

The fourth proportional to 4,668.48, 7,002.48 and 1,205.64 is: 1,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.48 : 7,002.48 = 1,205.64 : x
  2. Step 2: Convert to fraction form
    4,668.48/7,002.48 = 1,205.64/x
  3. Step 3: Cross multiply
    4,668.48x = 7,002.48 × 1,205.64
  4. Step 4: Simplify right side
    4,668.48x = 8,442,469.99
  5. Step 5: Solve for x
    x = 8,442,469.99/4,668.48
  6. Step 6: Final answer
    x = 1,808.40

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Why These Related Problems?

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