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Finding the Fourth Proportional to 4,013.69, 6,018.99 and 1,380.70

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Solution

The fourth proportional to 4,013.69, 6,018.99 and 1,380.70 is: 2,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.69 : 6,018.99 = 1,380.70 : x
  2. Step 2: Convert to fraction form
    4,013.69/6,018.99 = 1,380.70/x
  3. Step 3: Cross multiply
    4,013.69x = 6,018.99 × 1,380.70
  4. Step 4: Simplify right side
    4,013.69x = 8,310,419.49
  5. Step 5: Solve for x
    x = 8,310,419.49/4,013.69
  6. Step 6: Final answer
    x = 2,070.52

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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.