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Finding the Fourth Proportional to 2,105.93, 3,159.27 and 935.93

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Solution

The fourth proportional to 2,105.93, 3,159.27 and 935.93 is: 1,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.93 : 3,159.27 = 935.93 : x
  2. Step 2: Convert to fraction form
    2,105.93/3,159.27 = 935.93/x
  3. Step 3: Cross multiply
    2,105.93x = 3,159.27 × 935.93
  4. Step 4: Simplify right side
    2,105.93x = 2,956,839.77
  5. Step 5: Solve for x
    x = 2,956,839.77/2,105.93
  6. Step 6: Final answer
    x = 1,404.06

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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.