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Finding the Fourth Proportional to 2,805.67, 4,210.38 and 1,344.94

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Solution

The fourth proportional to 2,805.67, 4,210.38 and 1,344.94 is: 2,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.67 : 4,210.38 = 1,344.94 : x
  2. Step 2: Convert to fraction form
    2,805.67/4,210.38 = 1,344.94/x
  3. Step 3: Cross multiply
    2,805.67x = 4,210.38 × 1,344.94
  4. Step 4: Simplify right side
    2,805.67x = 5,662,697.95
  5. Step 5: Solve for x
    x = 5,662,697.95/2,805.67
  6. Step 6: Final answer
    x = 2,018.30

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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.