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Finding the Fourth Proportional to 1,296.51, 1,944.45 and 371.85

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Solution

The fourth proportional to 1,296.51, 1,944.45 and 371.85 is: 557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.51 : 1,944.45 = 371.85 : x
  2. Step 2: Convert to fraction form
    1,296.51/1,944.45 = 371.85/x
  3. Step 3: Cross multiply
    1,296.51x = 1,944.45 × 371.85
  4. Step 4: Simplify right side
    1,296.51x = 723,043.73
  5. Step 5: Solve for x
    x = 723,043.73/1,296.51
  6. Step 6: Final answer
    x = 557.68

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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.