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Finding the Fourth Proportional to 2,354.97, 3,534.75 and 1,123.23

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Solution

The fourth proportional to 2,354.97, 3,534.75 and 1,123.23 is: 1,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.97 : 3,534.75 = 1,123.23 : x
  2. Step 2: Convert to fraction form
    2,354.97/3,534.75 = 1,123.23/x
  3. Step 3: Cross multiply
    2,354.97x = 3,534.75 × 1,123.23
  4. Step 4: Simplify right side
    2,354.97x = 3,970,337.24
  5. Step 5: Solve for x
    x = 3,970,337.24/2,354.97
  6. Step 6: Final answer
    x = 1,685.94

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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.