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Finding the Fourth Proportional to 3,096.71, 4,273.40 and 1,699.46

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Solution

The fourth proportional to 3,096.71, 4,273.40 and 1,699.46 is: 2,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.71 : 4,273.40 = 1,699.46 : x
  2. Step 2: Convert to fraction form
    3,096.71/4,273.40 = 1,699.46/x
  3. Step 3: Cross multiply
    3,096.71x = 4,273.40 × 1,699.46
  4. Step 4: Simplify right side
    3,096.71x = 7,262,463.87
  5. Step 5: Solve for x
    x = 7,262,463.87/3,096.71
  6. Step 6: Final answer
    x = 2,345.22

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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.