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Finding the Fourth Proportional to 1,376.42, 1,898.52 and 851.54

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Solution

The fourth proportional to 1,376.42, 1,898.52 and 851.54 is: 1,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.42 : 1,898.52 = 851.54 : x
  2. Step 2: Convert to fraction form
    1,376.42/1,898.52 = 851.54/x
  3. Step 3: Cross multiply
    1,376.42x = 1,898.52 × 851.54
  4. Step 4: Simplify right side
    1,376.42x = 1,616,665.72
  5. Step 5: Solve for x
    x = 1,616,665.72/1,376.42
  6. Step 6: Final answer
    x = 1,174.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.