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Finding the Fourth Proportional to 2,349.14, 3,523.43 and 617.90

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Solution

The fourth proportional to 2,349.14, 3,523.43 and 617.90 is: 926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.14 : 3,523.43 = 617.90 : x
  2. Step 2: Convert to fraction form
    2,349.14/3,523.43 = 617.90/x
  3. Step 3: Cross multiply
    2,349.14x = 3,523.43 × 617.90
  4. Step 4: Simplify right side
    2,349.14x = 2,177,111.32
  5. Step 5: Solve for x
    x = 2,177,111.32/2,349.14
  6. Step 6: Final answer
    x = 926.77

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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.