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Finding the Fourth Proportional to 2,668.01, 4,002.24 and 912.94

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Solution

The fourth proportional to 2,668.01, 4,002.24 and 912.94 is: 1,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.01 : 4,002.24 = 912.94 : x
  2. Step 2: Convert to fraction form
    2,668.01/4,002.24 = 912.94/x
  3. Step 3: Cross multiply
    2,668.01x = 4,002.24 × 912.94
  4. Step 4: Simplify right side
    2,668.01x = 3,653,798.40
  5. Step 5: Solve for x
    x = 3,653,798.40/2,668.01
  6. Step 6: Final answer
    x = 1,369.49

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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.