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Finding the Fourth Proportional to 1,416.02, 2,123.42 and 593.73

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Solution

The fourth proportional to 1,416.02, 2,123.42 and 593.73 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.02 : 2,123.42 = 593.73 : x
  2. Step 2: Convert to fraction form
    1,416.02/2,123.42 = 593.73/x
  3. Step 3: Cross multiply
    1,416.02x = 2,123.42 × 593.73
  4. Step 4: Simplify right side
    1,416.02x = 1,260,735.19
  5. Step 5: Solve for x
    x = 1,260,735.19/1,416.02
  6. Step 6: Final answer
    x = 890.34

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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.