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Finding the Fourth Proportional to 4,068.70, 6,103 and 1,295.34

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Solution

The fourth proportional to 4,068.70, 6,103 and 1,295.34 is: 1,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.70 : 6,103 = 1,295.34 : x
  2. Step 2: Convert to fraction form
    4,068.70/6,103 = 1,295.34/x
  3. Step 3: Cross multiply
    4,068.70x = 6,103 × 1,295.34
  4. Step 4: Simplify right side
    4,068.70x = 7,905,460.02
  5. Step 5: Solve for x
    x = 7,905,460.02/4,068.70
  6. Step 6: Final answer
    x = 1,942.99

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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.