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Finding the Fourth Proportional to 2,353.70, 3,523.53 and 1,426.46

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Solution

The fourth proportional to 2,353.70, 3,523.53 and 1,426.46 is: 2,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.70 : 3,523.53 = 1,426.46 : x
  2. Step 2: Convert to fraction form
    2,353.70/3,523.53 = 1,426.46/x
  3. Step 3: Cross multiply
    2,353.70x = 3,523.53 × 1,426.46
  4. Step 4: Simplify right side
    2,353.70x = 5,026,174.60
  5. Step 5: Solve for x
    x = 5,026,174.60/2,353.70
  6. Step 6: Final answer
    x = 2,135.44

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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.