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Finding the Fourth Proportional to 2,349.21, 3,523.82 and 617.79

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Solution

The fourth proportional to 2,349.21, 3,523.82 and 617.79 is: 926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.21 : 3,523.82 = 617.79 : x
  2. Step 2: Convert to fraction form
    2,349.21/3,523.82 = 617.79/x
  3. Step 3: Cross multiply
    2,349.21x = 3,523.82 × 617.79
  4. Step 4: Simplify right side
    2,349.21x = 2,176,977.67
  5. Step 5: Solve for x
    x = 2,176,977.67/2,349.21
  6. Step 6: Final answer
    x = 926.69

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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.