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Finding the Fourth Proportional to 2,354.29, 3,531.54 and 599.30

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Solution

The fourth proportional to 2,354.29, 3,531.54 and 599.30 is: 898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.29 : 3,531.54 = 599.30 : x
  2. Step 2: Convert to fraction form
    2,354.29/3,531.54 = 599.30/x
  3. Step 3: Cross multiply
    2,354.29x = 3,531.54 × 599.30
  4. Step 4: Simplify right side
    2,354.29x = 2,116,469.62
  5. Step 5: Solve for x
    x = 2,116,469.62/2,354.29
  6. Step 6: Final answer
    x = 898.99

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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.