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Finding the Fourth Proportional to 2,354.73, 3,532.28 and 623.36

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Solution

The fourth proportional to 2,354.73, 3,532.28 and 623.36 is: 935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.73 : 3,532.28 = 623.36 : x
  2. Step 2: Convert to fraction form
    2,354.73/3,532.28 = 623.36/x
  3. Step 3: Cross multiply
    2,354.73x = 3,532.28 × 623.36
  4. Step 4: Simplify right side
    2,354.73x = 2,201,861.28
  5. Step 5: Solve for x
    x = 2,201,861.28/2,354.73
  6. Step 6: Final answer
    x = 935.08

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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.