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Finding the Fourth Proportional to 2,349.05, 3,523.48 and 617.63

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Solution

The fourth proportional to 2,349.05, 3,523.48 and 617.63 is: 926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.05 : 3,523.48 = 617.63 : x
  2. Step 2: Convert to fraction form
    2,349.05/3,523.48 = 617.63/x
  3. Step 3: Cross multiply
    2,349.05x = 3,523.48 × 617.63
  4. Step 4: Simplify right side
    2,349.05x = 2,176,187.79
  5. Step 5: Solve for x
    x = 2,176,187.79/2,349.05
  6. Step 6: Final answer
    x = 926.41

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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.