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Finding the Fourth Proportional to 2,096.07, 3,141.90 and 708.93

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Solution

The fourth proportional to 2,096.07, 3,141.90 and 708.93 is: 1,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.07 : 3,141.90 = 708.93 : x
  2. Step 2: Convert to fraction form
    2,096.07/3,141.90 = 708.93/x
  3. Step 3: Cross multiply
    2,096.07x = 3,141.90 × 708.93
  4. Step 4: Simplify right side
    2,096.07x = 2,227,387.17
  5. Step 5: Solve for x
    x = 2,227,387.17/2,096.07
  6. Step 6: Final answer
    x = 1,062.65

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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.