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Finding the Fourth Proportional to 2,348.99, 3,523.52 and 617.61

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Solution

The fourth proportional to 2,348.99, 3,523.52 and 617.61 is: 926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.99 : 3,523.52 = 617.61 : x
  2. Step 2: Convert to fraction form
    2,348.99/3,523.52 = 617.61/x
  3. Step 3: Cross multiply
    2,348.99x = 3,523.52 × 617.61
  4. Step 4: Simplify right side
    2,348.99x = 2,176,161.19
  5. Step 5: Solve for x
    x = 2,176,161.19/2,348.99
  6. Step 6: Final answer
    x = 926.42

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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.