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Finding the Fourth Proportional to 2,446.12, 3,668.70 and 907.24

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Solution

The fourth proportional to 2,446.12, 3,668.70 and 907.24 is: 1,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.12 : 3,668.70 = 907.24 : x
  2. Step 2: Convert to fraction form
    2,446.12/3,668.70 = 907.24/x
  3. Step 3: Cross multiply
    2,446.12x = 3,668.70 × 907.24
  4. Step 4: Simplify right side
    2,446.12x = 3,328,391.39
  5. Step 5: Solve for x
    x = 3,328,391.39/2,446.12
  6. Step 6: Final answer
    x = 1,360.68

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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.