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Finding the Fourth Proportional to 2,096.74, 3,145.97 and 1,056.18

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Solution

The fourth proportional to 2,096.74, 3,145.97 and 1,056.18 is: 1,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.74 : 3,145.97 = 1,056.18 : x
  2. Step 2: Convert to fraction form
    2,096.74/3,145.97 = 1,056.18/x
  3. Step 3: Cross multiply
    2,096.74x = 3,145.97 × 1,056.18
  4. Step 4: Simplify right side
    2,096.74x = 3,322,710.59
  5. Step 5: Solve for x
    x = 3,322,710.59/2,096.74
  6. Step 6: Final answer
    x = 1,584.70

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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.