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Finding the Fourth Proportional to 3,097.70, 4,647.26 and 1,343.00

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Solution

The fourth proportional to 3,097.70, 4,647.26 and 1,343.00 is: 2,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,647.26 = 1,343.00 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,647.26 = 1,343.00/x
  3. Step 3: Cross multiply
    3,097.70x = 4,647.26 × 1,343.00
  4. Step 4: Simplify right side
    3,097.70x = 6,241,246.94
  5. Step 5: Solve for x
    x = 6,241,246.94/3,097.70
  6. Step 6: Final answer
    x = 2,014.80

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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.