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Finding the Fourth Proportional to 2,354.94, 3,534.57 and 1,123.20

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Solution

The fourth proportional to 2,354.94, 3,534.57 and 1,123.20 is: 1,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.94 : 3,534.57 = 1,123.20 : x
  2. Step 2: Convert to fraction form
    2,354.94/3,534.57 = 1,123.20/x
  3. Step 3: Cross multiply
    2,354.94x = 3,534.57 × 1,123.20
  4. Step 4: Simplify right side
    2,354.94x = 3,970,029.02
  5. Step 5: Solve for x
    x = 3,970,029.02/2,354.94
  6. Step 6: Final answer
    x = 1,685.83

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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.